SOLUTION: the length of a rectangle is 1m less than four times the width. if the area of the rectangle is 33m^2. find the dimensions of the rectangle.

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Question 662657: the length of a rectangle is 1m less than four times the width. if the area of the rectangle is 33m^2. find the dimensions of the rectangle.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
l = 4w- 1
a = 33 = lw
substituting l
33 = (4w-1)w
33 = 4w^2-w
4w^2 - w - 33 = 0
(4w+11)(w-3) = 0
4w+11=0 so w=-11/4 width cannot be negative
w-3=0 so w=3 yes
width = 3m
length = 4(3)-1=11m
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