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The diagram shows a row of four identical tiles, each in the shape of an isosceles trapezoid. What is the area of one tile?

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2 Answers

5 votes

Answer: 80 square inches

Explanation:

User Davidawad
by
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3 votes
I saw the image that accompanied this problem.

4 identical isosceles trapezoid forming 2 parallelogram.
1 parallelogram has a base of 16 inches and its height is 10 inches.

We need to get the area of the parallelogram and multiply it by 2 before dividing it into 4 to get the area of each isosceles trapezoid.

Area of a parallelogram = base * height
A = 16 in x 10 in = 160 in²

160 in² x 2 parallelogram = 320 in²
320 in² / 4 tiles = 80 in²

The area of one tile is 80 square inches.
The diagram shows a row of four identical tiles, each in the shape of an isosceles-example-1
User Homeskillet
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5.8k points