SOLUTION: The length of a basement is 2 less than 3 times the width. The Perimeter is 80 feet. Find the length and width.

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Question 1205137: The length of a basement is 2 less than 3 times the width. The Perimeter is 80 feet. Find the length and width.
Found 2 solutions by math_tutor2020, MathLover1:
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Hint:

One equation to solve would be
2w+%2B+2%283w-2%29+=+80
where w is the width and 3w-2 is the length

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if the length of a basement is 2+less than 3+times the width, we have
l=3w-2...eq.1
if the Perimeter is 80 feet, we have
2%28l%2Bw%29=80...simplify
l%2Bw=40....substitute l from eq.1
3w-2%2Bw=40
4w=40%2B2
4w=42
w=42%2F4
w=10.5%7D%7D%0D%0A%0D%0A%0D%0Ago+to%0D%0A%0D%0A+%7B%7B%7Bl=3w-2...eq.1, substitute w
l=3%2A10.5-2
l=29.5

the length is 29.5ft
and
the width is 10.5ft