SOLUTION: The perimeter of a rectangle is 54 inches, and its area is 176 sqaure inches. Find the length and width of the rectangle.

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Question 440116: The perimeter of a rectangle is 54 inches, and its area is 176 sqaure inches. Find the length and width of the rectangle.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

The perimeter of a rectangle is 54 inches:  

2L + 2W = 54  OR L + W = 27  AND L = 27-W  

Let x AND (27-x) represent the width and length respectively

Question states***area is 176 square inches  Area(rectangle) = L*W

  (27-x)x = 176

     x^2 - 27x + 176 = 0

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%2827+%2B-+sqrt%28+25+%29%29%2F%282%29+

   x = 22/2 = 11, the width.  Length 16 

or x = 32/2 = 16, the width.  Length 11