SOLUTION: The Length of a rectangle is 1 m less than 4 times the width. Its area is 33m^2. Find the Dimensions of the Rectangle

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Question 889917: The Length of a rectangle is 1 m less than 4 times the width. Its area is 33m^2. Find the Dimensions of the Rectangle
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
L for length
w for width

The description makes L=-1+4w and wL=33.

Substituting for L,
w%284w-1%29=33
4w%5E2-w-33=0
Try to factorize.
%284w%2B11%29%28w-3%29=0
4w-11=0
4w=11
highlight%28w=11%2F4=2%263%2F4%29

Compute L using the now found w.