1. Word Problems
Involving
Triangle

2. Before We Start
Recall
How we can change

3. WORDS
I N T O
MATH

4. The following slides show how many words in word problems can be translated into Math Symbols.
The translations shown are not always the only translations and there may be others more appropriate for each word problem you encounter.
However, the examples in the next slides typify the most common translations of words into Math Symbols.

5. MATH
WORDS = is

6. MATH
WORDS = is of

7. MATH
WORDS +
more

8. MATH
WORDS +
more
less

9. MATH
WORDS
product

10. MATH
WORDS
product
quotient
FRACTION

11. MATH
WORDS
sum

12. MATH
WORDS
sum
difference

13. MATH
WORDS
twice

14. MATH
WORDS
Twice as many

15. MATH
WORDS
Twice as many
Three times as many

16. MATH
WORDS
Twice as many
Three times as many
Triple

17. MATH
WORDS
Half of

18. MATH
WORDS
Half of
Half as many

19. MATH
WORDS
One third of

20. MATH
WORDS
One third of
A third as many

21. In the following slides you will find several different types of perimeter word problems.
If you wish to see how to solve the problem, click on the problem and you will be taken to the solution.

22. RECTANGLE PROBLEMS
The length of a rectangle is 3 times the width. The perimeter is 96 cm Find the width and length. 1
The length of a rectangle is 50 meters This is 6 meters more than twice the width. Find the width. 2
The length of a rectangular field is 18 m longer than the width. The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle? 3

23. TRIANGLE PROBLEMS
A triangle is isosceles, that is, it has two sides of equal length The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side. 4
The first side of a triangle is m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side 5

24. 1
Example #1

25. The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length
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To List of
Problems

26. Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length

27. Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length

28. Perimeter Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length
Perimeter

29. Perimeter Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length
Perimeter

30. Perimeter Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length
Perimeter

31. Perimeter Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length
Perimeter

32. Clearly shows that you are dividing by the same thing on both sides

33. Go back and read the problem

34. Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length

35. Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length

36. Let x represent the width
The length of a rectangle is 3 times the width.
The perimeter is 96 cm. Find the width and length
The width is the length is 36
Click to go
To List of
Problems

37. 2
Example #2

38. The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width.
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To List of
Problems

39. The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width.

40. Let w represent the width
The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width.

41. 50 Let w represent the width The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50

42. 50 Let w represent the width The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50

43. 50 Let w represent the width The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50

44. 50 Let w represent the width The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width. 50

45. Symmetric Prop. Of Equality
Not Absolutely Necessary but it’s nice to have the unknown variable on the left side

46. Clearly shows that you are subtracting the same thing from both sides

47. Clearly shows that you are dividing by the same thing on both sides

48. Go back and read the problem

49. Let w represent the width
The length of a rectangle is 50 meters.
This is 6 meters more than twice the width.
Find the width.
The width is 22 meters
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To List of
Problems

50. 3
Example #3

51. The length of a rectangular field is 18 m longer than the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
Click to go
To List of
Problems

52. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?

53. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?

54. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?

55. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?

56. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
FENCING = 216

57. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
FENCING = 216

58. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
FENCING = 216

59. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
FENCING = 216

60. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
FENCING = 216

61. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
FENCING = 216

62. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
FENCING = 216
216 =

63. Clearly shows that you are subtracting the same thing from both sides

64. Clearly shows that you are dividing by the same thing on both sides

65. Go back and read the problem

66. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?

67. Let w represent the width
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
The width = 36 m
and
The length = 54 m

68. Check if the fencing = 216 m FENCING = 216
The length of a rectangular field is 18 m longer than the width The field is enclosed with fencing and divided into two parts with a fence parallel to the shorter sides If 216 m of fencing are required, what are the dimensions of the outside rectangle?
FENCING = 216
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To List of
Problems

69. 4
Example #4

70. A triangle is isosceles, that is, it has two sides of equal length
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.
Click to go
To List of
Problems

71. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

72. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

73. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

74. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

75. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

76. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.
Perimeter = 570

77. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.
Perimeter = 570

78. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.
Perimeter = 570

79. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.
Perimeter = 570

80. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.
Perimeter = 570

81. Clearly shows that you are adding the same thing to both sides

82. Clearly shows that you are dividing by the same thing on both sides

83. Go back and read the problem

84. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

85. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

86. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

87. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.

88. Let x represent the length of each equal side
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.
The equal sides = 150 in
and
The third side = 270 in

89. Check out the Perimeter
A triangle is isosceles, that is, it has two sides of equal length. The third side is 30 inches shorter than twice the length of each congruent side The perimeter is 570 inches Find the length of each side.
Perimeter = 570
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To List of
Problems

90. 5
Example #5

91. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side
1st
2nd
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Problems

92. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side

93. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side
Perimeter = 26

94. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side
Perimeter = 26

95. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side
Perimeter = 26

96. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side
Perimeter = 26

97. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side
Perimeter = 26

98. Clearly shows that you are adding the same thing to both sides

99. Clearly shows that you are dividing by the same thing on both sides

100. Go back and read the problem

101. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side

102. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side

103. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side

104. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side

105. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side

106. Let x represent the length of the second side
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side
The second side = 11 m
and
The first side = 3 m
The third side = 12 m

107. Check out the Perimeter
The first side of a triangle is 8 m shorter than the second side The third side is 4 times as long as the first side The perimeter is 26 m Find the length of each side
Perimeter = 26 26
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Problems