Asked by val

if a rug's perimeter is 17cm and the area is 13cm, what are the reasurments for the length and width?
Answered by Ms. Sue
Are you sure you copied this problem correctly?

A rug with a perimeter of 17 cm wouldn't be large enough to hold my big toe.

Answered by val
this is copied correctly. the teacher wanted to keep it simple
Answered by Reiny
Your teacher should have stated that the area is 13 cm^2.
If your teacher tried to make it simple, then he/she did not do such a good job.
I did it by algebra and it led to a quadratic equation.

length - x
width - y
2x + 2y = 17
x + y = 8.5
also xy = 13, so y = 13/x

x + 13/x = 8.5
x^2 - 8.5x + 13 = 0
2x^2 - 17x + 26 = 0
(x-2)(2x - 13) = 0
x = 2 or x = 6.5
if x = 2 , then y = 6.5
if x = 6.5, then y = 2

so the "rug" is 2 cm by 6.5 cm, and as Ms Sue noted, probably just big enough to fit into a doll house.

I have a 4th grade "guess" at that answer is rather stretching it.
Answered by Benjamin
That is not 4th grade homework
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