SOLUTION: The perimeter of a rectangle is 56. The width is one-third the length. Write two equations that represent this scenario. Find the dimensions of the rectangle.

Algebra ->  Expressions-with-variables -> SOLUTION: The perimeter of a rectangle is 56. The width is one-third the length. Write two equations that represent this scenario. Find the dimensions of the rectangle.       Log On


   

Question 488641: The perimeter of a rectangle is 56. The width is one-third the length. Write two equations that represent this scenario.
Find the dimensions of the rectangle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let a = length
Let b = width
given:
(1) +a+=+3b+
(2) +2a+%2B+2b+=+56+
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Substitute (1) into (2)
(2) +2%2A%283b%29+%2B+2b+=+56+
(2) +6b+%2B+2b+=+56+
(2) +8b+=+56+
(2) +b+=+7+
and, since
(1) +a+=+3b+
(1) +a+=+3%2A7+
(1) +a+=+21+
The dimensions are 7 x 21