SOLUTION: The length of a rectangle in 6cm longer than the width. Its perimeter is 56. Find the width and lenght......How do I fiqure this out ?

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Question 83838: The length of a rectangle in 6cm longer than the width. Its perimeter is 56. Find the width and lenght......How do I fiqure this out ?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the length l
Call the width w
Call the perimeter p
p+=+2l+%2B+2w (draw the rectangle and you can see this)
p+=+56 given
l+=+w+%2B+6 given
substituting,
56+=+2%28w+%2B+6%29+%2B+2w
56+=+2w+%2B+12+%2B+2w
4w+=+56+-+12
4w+=+44
w+=+11
l+=+w+%2B+6
l+=+11+%2B+6
l+=+17
So, the length is 17 cm and the width is 11 cm
check answer
Is the lenght 6 cm longer than the width? yes
also,
p+=+2l+%2B+2w
56+=+2%2A17+%2B+2%2A11
56+=+34+%2B+22
56+=+56
OK