The lengths of the sides of a rectangular window have the ratio 1.2 to 1. The area of the window is 811.2 square inches. What are the dimensions of the window?

a. 26 inches by 31.2 inches

b. 26 inches by 37.44 inches

c. 28.48 inches by 28.48 inches

d. 26 inches by 52 inches

a. 26 inches by 31.2 inches

Step-by-step explanation:

The lengths (X) of the rectangular is 1.2 times longer than the width (Y), so you can put it into this equation

x = y * 1.2

x = 1.2 y

The area of the window is 811.2 square inches, so you can put this equation

x * y = 811.2

Combining both equations, you can get

x * y = 811.2

(1.2y) * y = 811.2

1.2y^2 = 811.2

y^2 = 676

y = 26

x = 1.2 y

x = 1.2 (26) = 31.2