dekwon25 dekwon25

10-04-2015
Mathematics

Answered

The length of a rectangle picture frame is 3 inches greater than its width. The area if the picture frame is 40 square inches. Find the dimensions of the picture frame

Verified Answer :

sugarmate sugarmate

10-04-2015

Let x be the width of the frame.

Then, x + 3 is the length of the frame.

The area of a rectangle is the product of its length and its width.

So, x(x+3) = 40

x^2 + 3x = 40

x^2 + 3x - 40 = 0

(x-5)*(x+8)=0

x-5 = 0 or x+8 = 0

x = 5 or x = -8

x = 5

The width is 5 and the length is 5 + 3 = 8

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