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
Please help! Thanks.
Let x be the smaller dimension of the window.....then 1.2 x is the other dimension
So we have
x * (1.2x) = 811.2
1.2x^2 = 811.2 divide both sides by 1.2
x^2 = 676 take the square root of both sides
x = 26 in this is the smaller dimension
1.2 (26) = 31.2 in this is the larger dimension
So..... "a" is correct