SOLUTION: how do you solve the following If the area of a rectangle is 13 1/2 units and the length of one of the sides is 1/5 the perimeter what are the values of length and width and how?

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Question 609137: how do you solve the following If the area of a rectangle is 13 1/2 units and the length of one of the sides is 1/5 the perimeter what are the values of length and width and how? Thanks so very much.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
solve the following
If the area of a rectangle is 13 1/2 units and the length of one of the sides is 1/5 the perimeter what are the values of length and width and how?
:
"the area of a rectangle is 13 1/2 units"
L*W = 13.5
L = 13.5%2FW
:
"the length of one of the sides is 1/5 the perimeter"
L = .2(2L + 2W)
L = .4L + .4W
L - .4L = .4W
.6L = .4W
Replace L with 13.5%2FW
.6(13.5%2FW) = .4W
:
Multiply both side by W
.6(13.5) = .4W^2
8.1 = .4W^2
Divide both sides by .4
20.25 = W^2
W = sqrt%2820.25%29
W = 4.5 is the width
then
13.5%2F4.5 = 3 units is the length
:
what are the values of length and width and how?
Width = 4.5, length = 3
:
:
See if that checks out
3 = .2(2(3)+2(4.5))
3 = .2(15); checks out