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8.3 Area of Squares and Rectangles
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Area The amount of surface covered by a figure is its area.
Area is measured in square units. in² (inches squared) ft² (square feet)
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Area of a Square Area of a Square= side x side (side)² A = s²
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Find the area of the square
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Area of a Rectangle Area of a Rectangle = base x height A = bh
Height, h Base, b
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Find the area 16 ft 24 ft
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A = 54 in² h 9 in Find the height.
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Which of the following areas are you trying to find?
AREAS OF POLYGONS Which of the following areas are you trying to find? Parallelogram Triangle Trapezoid
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AREA OF A PARALLELOGRAM
b h Welcome. Today you’re going to discover the formula for area of a parallelogram. Click to Continue
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AREA OF A PARALLELOGRAM
b h To do this let’s cut the left triangle and… Click to Continue
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AREA OF A PARALLELOGRAM
b h h slide it… Click to Continue
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AREA OF A PARALLELOGRAM
h b h slide it…
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AREA OF A PARALLELOGRAM
h b h slide it…
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AREA OF A PARALLELOGRAM
h b h slide it…
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AREA OF PARALLELOGRAM b h …thus, changing it to a rectangle.
What is the area of the rectangle?
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You Answered Correctly.
Congratulations!!! You Answered Correctly. Click to continue.
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AREA OF A PARALLELOGRAM
b h Since the area of the rectangle and parallelogram are the same, just rearranged, what is the formula for the area of this parallelogram?
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You Answered Correctly.
Congratulations!!! You Answered Correctly. Click to continue.
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The next slide will take you into discovering the area of a triangle.
Do you wish to continue? Yes No
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Hello. You will now be discovering the formula for area of a triangle.
Click to Continue b
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Let’s divide the triangle so that we divide the height in two.
AREA OF A TRIANGLE b ? Let’s divide the triangle so that we divide the height in two. Click to Continue
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AREA OF A TRIANGLE b ? Remember, we divided the height into two equal parts. Now take the top and rotate… Click to Continue
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AREA OF A TRIANGLE ? rotate… ?
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AREA OF A TRIANGLE ? rotate… ? b
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AREA OF A TRIANGLE ? rotate… ? b
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AREA OF A TRIANGLE ? rotate… ? b
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AREA OF A TRIANGLE ? ? rotate… b
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AREA OF A TRIANGLE ? b …until you have a parallelogram.
How would you represent the height of this parallelogram?
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Remember, you divided the height in two.
AREA OF A TRIANGLE ? ? ? ? b b Remember, you divided the height in two. Click to Continue
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What is the area of this parallelogram?
AREA OF A TRIANGLE ? b What is the area of this parallelogram?
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You Answered Correctly.
Congratulations!!! You Answered Correctly. Click to continue.
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AREA OF A TRIANGLE The area of this triangle would be the same as the parallelogram. Therefore, the formula for the area of a triangle is… what? h b
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You Answered Correctly.
Congratulations!!! You Answered Correctly. Click to continue.
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The next slide will take you into discovering the area of a trapezoid.
Do you wish to continue? Yes No
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Hi. Let’s derive the formula for the area for a trapezoid.
AREA OF A TRAPEZOID Hi. Let’s derive the formula for the area for a trapezoid. Click to Continue
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Remember, there are two different bases on a trapezoid.
AREA OF A TRAPEZOID h Remember, there are two different bases on a trapezoid. Click to Continue
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AREA OF A TRAPEZOID ? First divide the trapezoid horizontally so the height is divided in two. Click to Continue
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Remember, we divided the height in two. Now, rotate…
AREA OF A TRAPEZOID ? ? Remember, we divided the height in two. Now, rotate… Click to Continue
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AREA OF A TRAPEZOID ? ? rotate…
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…until, you have a parallelogram.
AREA OF A TRAPEZOID ? ? …until, you have a parallelogram. Click to Continue
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How would you represent the height of the parallelogram?
AREA OF A TRAPEZOID ? How would you represent the height of the parallelogram?
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Remember, we divided the height in two.
AREA OF A TRAPEZOID ? ? Remember, we divided the height in two. Click to Continue
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How would you represent the base of the parallelogram?
AREA OF A TRAPEZOID ? How would you represent the base of the parallelogram?
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The new base is made by connecting the top and bottom bases.
AREA OF A TRAPEZOID ? ? The new base is made by connecting the top and bottom bases. Click to Continue
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How would you represent the area of this parallelogram?
AREA OF A TRAPEZOID ? How would you represent the area of this parallelogram?
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It is improper to add subscripts. Try again.
AREA OF A TRAPEZOID It is improper to add subscripts. Try again. Click to Continue
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AREA OF A TRAPEZOID Reminder. In order to add before multiplying you must use grouping symbols. Click to Continue
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AREA OF A TRAPEZOID h The area of this trapezoid is the same as the parallelogram. What is the formula for area of a trapezoid?
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You Answered Correctly.
Congratulations!!! You Answered Correctly. Click to continue.
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Sorry!!! Try again. Click to continue.
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AREAS OF POLYGONS Once you have finished with the handouts and tests you will have completed the unit on areas of parallelograms, triangles, and trapezoids. Have a good day. Click to Continue
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