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.

mathelp  Mar 28, 2018

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



cool cool cool

CPhill  Mar 28, 2018

Thank you so much. I have been stuck on this one. smiley

mathelp  Mar 28, 2018

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