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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!

Hint:

One equation to solve would be

where w is the width and 3w-2 is the length


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

if the length of a basement is less than times the width, we have
...eq.1
if the Perimeter is feet, we have
...simplify
....substitute from eq.1




...eq.1, substitute



the length is
and
the width is


RELATED QUESTIONS

The length of a rectangle is 5 inches less than 2 times the width. the perimeter is 80... (answered by josgarithmetic)
The perimeter of a rectangle is 80 feet, and it's length is 5 feet less than twice its... (answered by algebrahouse.com)
The length of a rectangle is 2 feet longer than 3 times the width. The perimeter of the... (answered by ewatrrr)
how do i find the width of a rectangle when the perimeter is 280 feet and the length is... (answered by Finavon)
The perimeter of a rectangle is 80 feet. The length of the rectangle is 2 feet less than... (answered by quentin252)
The length of a rectangle is 5 feet less than four times the width if the perimeter is 80 (answered by algebra hello)
The perimeter of a rectangle is 36 feet. The length is 2 less than 3 times the width.... (answered by Christopher Braimah )
The perimeter of a rectangle is 16 feet. The width is 2 feet less than the length. Find... (answered by stanbon)
The length of a rectangle is 2 less than 3 times it's width. The perimeter of the... (answered by lmeeks54)