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Although the quadratic is the regular way, it may be easiest to just look at the answers after prime factorizing 252.

Area of rectangle = (A) * (A + 4)

A + 4 = ?

252

4 divided into 240 ——-> 60 times

Then 4 divides into the remaining 12 of 252 ——> 3 times

252 = 4 * 63 = (2) (2) (3) (3) (7)

We need the factor pair to be close —-

(2) (3) (3) = 18

Remaining: (2) (7) = 14

Difference of 4 so that’s our answer

Longer side is 18

(I tried to write out the mental process one can use to work through the problem)

Posted from my mobile device
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