Question

1. in rectangle uvwx, xy = yv = 18.5 in. what is the area of rectangle uvwx?

Explanation:

Step1: Find diagonal length

The diagonal of the rectangle is $XY + YV = 18.5 + 18.5 = 37$ in.

Step2: Calculate rectangle length

Let the length be $l$. Use Pythagorean theorem: $l^2 + 12^2 = 37^2$.
$l^2 = 37^2 - 12^2 = 1369 - 144 = 1225$
$l = \sqrt{1225} = 35$ in.

Step3: Compute rectangle area

Area = length $\times$ width = $35 \times 12$

Answer:

420 square inches