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If the area of trapezoid WXYZ is 50 Square feet, write and evaluate an expression to determine the area of Trapezoid ABCD

If the area of trapezoid WXYZ is 50 Square feet, write and evaluate an expression-example-1
User Sameem
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1 Answer

11 votes
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Assuming that the figures are similar, then we can find the ratio by dividing 10/8.


(10)/(8)=1.25

Basically, the trapezoid WXYZ is bigger by a factor of 1.25.

Then, we define the following expression


A_{\text{bigger}}=1.25* A_{\text{smaller}}

Now, we can find the area of the smaller trapezoid.


A_{\text{smaller}}=\frac{A_{\text{bigger}}}{1.25}=(50ft^2)/(1.25)=40ft^2

Hence, the area of trapezoid ABCD is 40 square feet.

User Ken Keenan
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