Posted by val on Monday, April 19, 2010 at 8:02pm.
if a rug's perimeter is 17cm and the area is 13cm, what are the reasurments for the length and width?

4th grade math  Ms. Sue, Monday, April 19, 2010 at 8:13pm
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.

4th grade math  val, Monday, April 19, 2010 at 8:17pm
this is copied correctly. the teacher wanted to keep it simple

4th grade math  Reiny, Monday, April 19, 2010 at 8:46pm
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
(x2)(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.

4th grade math  Benjamin, Wednesday, February 2, 2011 at 7:55pm
That is not 4th grade homework
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