1 answer

The length of a rectangle exceeds its width by 4 inches. How do you find the dimensions of the rectangle

Question:

The length of a rectangle exceeds its width by 4 inches. How do you find the dimensions of the rectangle it its area is 96 square inches?

Answers

The dimesions of the rectangle are: Length #=12# inches; Width #=8# inches.

Explanation:

Let the width of the rectangle be #x# inches.

Then, the length of the rectangle be #x+4# inches.

Hence area of the rectangle is as follows. # x(x+4) =96 or x^2+4x-96=0 or x^2+12x-8x-96=0 or x(x+12) -8(x+12)=0 or (x-8)(x+12)=0 #

So either #(x-8)=0 ;:.x=8# or #(x+12)=0 ;:.x=-12#. Width can not be negative. So #x=8 ; x+4=12#

Hence the dimesions of rectangle are as Length #=12# inches , Width #=8# inches.[Ans]

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