Assuming that the figures are similar, then we can find the ratio by dividing 10/8.
[tex]\frac{10}{8}=1.25[/tex]
Basically, the trapezoid WXYZ is bigger by a factor of 1.25.
Then, we define the following expression
[tex]A_{\text{bigger}}=1.25\times A_{\text{smaller}}[/tex]
Now, we can find the area of the smaller trapezoid.
[tex]A_{\text{smaller}}=\frac{A_{\text{bigger}}}{1.25}=\frac{50ft^2}{1.25}=40ft^2[/tex]
Hence, the area of trapezoid ABCD is 40 square feet.
