SOLUTION: the perimeter of a rectangle is 90m. the length is 6m longer than twice the width. what is the length and width?

Question 297022: the perimeter of a rectangle is 90m. the length is 6m longer than twice the width. what is the length and width?
Answer by Deina(147) (Show Source): You can put this solution on YOUR website!
Variables Used

p = perimeter

l = length

w = width

What do we know? We know that:
p = 90m
l = 2w + 6
and finally we know that
p = 2(l + w) or 2l + 2w

so we will substitute 2w + 6 for l in the formula:
p = 2(2w + 6) + 2w
Now we will distribute:
p = 4w + 12 + 2w
combine like terms:
p = 6w + 12
I like working on the left, so we'll flip-flop (advanced mathematical term) and replace "p" with 90:
6w + 12 = 90

subtract 12 from each side:
6w = 78
divide each side by 6:
so
w = 13
now remember that l = 2w + 6, and substitute 13 for 'w'

l = 32.
Your answers are
Length = 32m
Width = 13m & bob's your uncle!

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