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The perimeter of a rectangle is 26x + 6, and its area is 30x^2 - 12x - 18.  Find the dimensions of the rectangle.

 Sep 4, 2020
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30x^2-12x-18    factors to  

(30x - 30)(x+.6) = 0

x = 10    or  -.6  (throw out)

 

for x = 10        2L + 2W = 266     L+W = 133      W = 133-L

                         L*W = 2862         subbing in W = 133-L

                           Yields  27   and 106     via Quadratic Formula

 

Dimensions =  27  x  106 units

 Sep 5, 2020

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