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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
 #1
avatar+86890 
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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
 #2
avatar+108 
0

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

mathelp  Mar 28, 2018

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