Question

A corner lot has dimensions 40 yards by 25 yards. The city plans to take a strip of uniform width along the two sides bordering the streets to widen these roads. How wide should the strip be the remainder of the lot has an area of 756 square yards?

Answer 1

(40-x)(25-x)=756 sq yd
\[x ^{2}-65x+244=0\]
(x-61)(x-4)=0
x=4 The answer is 4 yds.
The x=61 root can not be as it exceeds the width of the lot. Of course the city might just take all of his lot. lol

Answer 2

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