SOLUTION: Find the length of a rectangle with a perimeter of 132 m if the length is 8 m more than the width

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Question 517067: Find the length of a rectangle with a perimeter of 132 m if the length is 8 m more than the width
Found 2 solutions by JBarnum, solver91311:
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
2l%2B2w=P
P=132
l=8%2Bw
2%288%2Bw%29%2B2w=132 distribute 2
16%2B2w%2B2w=132 add like terms
16%2B4w=132 subtract 16
4w=116 divide by 4
highlight%28w=29%29
l=8%2B29
highlight%28l=37%29
check
2l%2B2w=P
2%2837%29%2B2%2829%29=P
74%2B58=P
132=P
correct

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If a rectangle with perimeter has a length that is units longer (or shorter if ) than times the width, ,

Then knowing that the Perimeter is given by:

,

make the substitution:



Then solve for







For your problem: , , and . Do the arithmetic.

John

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