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What is an area of a trapezoid

What is an area of a trapezoid-example-1
User Igops
by
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2 Answers

7 votes

Answer:

144

Explanation:

Required area= Area of rectangle +2×(Area of Triangle)

=(10×8)+2×(1/2×8×8)

=80+64=144 in²

User Fraser Price
by
5.6k points
4 votes

Answer:

144 in²

Explanation:

To solve for the area of a trapezoid divided into a parallelogram (in this case a rectangle) and two triangles, you calculate the area of each part and add it together.

the area of a triangle = (base • height) / 2

the area of a parallelogram = (base • height)

so:

1. Calculate area of first triangle. 8 • 8 = 64, 64/2 is 32

2. Calculate the area of the second triangle. Since in this situation you have two equal triangles, you multiply the answer to the first part by 2 and get 64 in² again.

3. Calculate the area of the rectangle. 8 • 10 = 80 in²

4. Add the two numbers together. 80 + 64 = 144 in²

User Hannes
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4.8k points