Asked by Vanessa
One side of a rectangle is longer than the other side by 1cm. If the area is 30cm, find its perimeter.
Answers
Answered by
Reiny
shorter side --- x
longer side ---- x + 1
x(x+1) = 30
x^2 + x - 30 = 0
(x+6)(x-5) = 0
x = -6 or x = 5, but a side can't be negative, so
x = 5
short side is 5
long side is 6
perimeter = 2(5) + 2(6) = 22
longer side ---- x + 1
x(x+1) = 30
x^2 + x - 30 = 0
(x+6)(x-5) = 0
x = -6 or x = 5, but a side can't be negative, so
x = 5
short side is 5
long side is 6
perimeter = 2(5) + 2(6) = 22
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