SOLUTION: the ratio of the length of a rectangle to its width is 5:3. the width is 16 inches shorter than the length. find the area of the rectangle.

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Question 842700: the ratio of the length of a rectangle to its width is 5:3. the width is 16 inches shorter than the length. find the area of the rectangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

the ratio of the length of a rectangle to its width is 5:3. 

the width is 16 inches shorter than the length highlight_green%28x%29.

5%2F3+=+x%2F%28x-16%29            Cross Multiplying to solve

5(x-16) = 3x

 5x - 80 = 3x

    2x = 80

     x = 40in, the length.  The width is 24in     40-16

   Note: 40%2F24+=+5%2F3

  A = (40in)(24in) = 960 in^2