Question 199928: The length of a rectangle is 5 cm more than the width. The area of the rectangle is 36 square cm. What is the length? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The length of a rectangle is 5 cm more than the width. The area of the rectangle is 36 square cm. What is the length?
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Let w = width
then
w+5 = length
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w(w+5) = 36
w^2+5w = 36
w^2+5w-36 = 0
(w+9)(w-4)=0
w = {-9, 4}
Tossing out the negative solution we are left with:
w = 4 cm
.
length:
.
Length then, is
w+4 = 4+4 = 8 cm
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