1. Perimeter and Area
Perimeter – distance around a figure (one dimension)
Measured using linear units (ft, in, m, cm, etc)
Area – space taken up by a figure (two dimensions)
Measured using square units (ft2, in2, m2, cm2, etc)

2. Perimeter Perimeter = 10 + 8 + 10 + 8 = 36 ft
The distance around the outside of an object.
10 feet
8 feet
8 feet
10 feet
Perimeter =
10 +
8 +
10 +
8 =
36 ft

3. Find the Perimeter
6 in
11 in
Answer: = 34 in

4. Find the Perimeter
13 cm
10 cm
12 cm
Answer: = 46 cm

5. Find the Perimeter Answer: 13 + 4 + 5 + 5 = 27 in 8 in 13 in 5 in 5 in

6. Find the Missing Sides of the Triangle
P = 12 x 3
x = 12
x + 7 = 12
x = 5 4

7. Find x if the shape is a rhombus:
x + x + x + x = 20
4x = 20
x = 5

8. Find x if the shape is an equilateral triangle
x + x + x = 27 x
3x = 27
x = 9

9. Find x if the shape is a rectangle
3 + x + 3 +x = 16 3
2x + 6 = 16
2x = 10
x = 5

10. Find x if the shape is an isosceles triangle
x + x +7 = 27 x x
2x +7 = 27
2x = 20
x = 10 7

11. Area of a Rectangle: L x W (length x width)
2 dimensional space covered by an object.
Rectangle
4 sides
opposite sides equal
4 right angles W
4 sides
all sides equal
right angles
Square W L L
Area of a Rectangle:
L x W
(length x width)
Area of a Square:
L x W
(length x width)
(Which is also S x S or S2)

12. Find the Area
6 in
11 in
Answer: x 11 = 66 in2

13. Find the Area
4 in
Answer: x 4 = 16 in2

14. Area of a Rectangle = L x W Area of Triangle = ½ (L x W)
Area - Triangle
Consider a rectangle…..
2 dimensional space covered by an object.
Consider a rectangle….. h W W h b L b L
Area of a Rectangle = L x W
Area of Triangle = ½ (L x W)
Area of a Rectangle = L x W
Area of Triangle = ½ L x W
Area of Triangle = b·h or 𝑏·ℎ 2

15. Find the Area
3 cm
Answer:
2 cm
1 2 (3)(2) = 3 cm2

16. Find the Area
13 cm
10 cm
Answer:
12 cm
1 2 (10)(12) = 60 cm2

17. Find x 8 cm 5 cm Answer: Area = 20 cm2 1 2 5x = 20 cm2 5x = 40

18. Area – Parallelogram or Rhombus
4 sides
Opposite sides equal
Opposite sides parallel
Rhombus – all sides equal h W b L
Consider the rectangle…..
Area of a Rectangle = L x W
Area of Parallelogram or rhombus = b·h

19. Find the Area
7 cm
3 cm
5 cm
Answer:
(3)(5) = 15 cm2

20. Find the Area
9 cm
5 cm
7 cm
Answer: (7)(5) = 35 cm2

21. Find the Missing Side A = 56 cm2 Answer: 7x = 56 cm2 x = 8 cm 9 cm x

22. Area - Trapezoid Area of Parallelogram = bh = (a+b) x h = h(a+b)
4 sides
One set of parallel sides h b a
Consider the parallelogram...
Area of Parallelogram = bh = (a+b) x h = h(a+b)
Area of Trapezoid = ·h·(a+b) or ℎ ·(𝑎+𝑏) 2 ·

23. Find the Area. = 1 2 (8)(10+2) = 1 2 (8)(12) = 48 in2 4 in 4 in 2 in
Answer:
8 in
= (8)(10+2) = (8)(12) = 48 in2

24. Find x Area = = 1 2 (x)(8+6) = 35 in2 14x = 70 x = 5 3 in 3 in 6 in
Answer: x
Area =
= (x)(8+6) = 35 in2
14x = 70
x = 5

25. Finding Area of a Kite p q
Area of a Kite = pq 2

26. Find the Area
8 cm p
10 cm
Answer = 10 x 8 = 40 cm2 2