SOLUTION: The perimeter of a rectangle is 70m. The length is 5m more than twice the width. Find the dimensions. What is the length and what is the width?

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Question 452530: The perimeter of a rectangle is 70m. The length is 5m more than twice the width. Find the dimensions.
What is the length and what is the width?
Answer by pedjajov(51) About Me  (Show Source):
You can put this solution on YOUR website!
Rectangle has two sides, width=w and length=l.
:
Its perimeter is P=2%28w%2Bl%29
Its area is A=wl
:
Perimeter is 70:
2%28w%2Bl%29=70
w%2Bl=35
w=35-l
:
The length is 5m more than twice the width:
l=2w%2B5
:
Substitute w from first equation into the second:
l=2%2835-l%29%2B5
l=70-2l%2B5
3l=75
l=75%2F3
l=25, this is length
:
w=35-l
w=35-25
w=10, this is width