Question

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

Answer 1

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.