SOLUTION: Find the dimension of a rectangular Persian rug whose perimeter is 18 ft. and whose area is 20 ft^2? what are the length and width?

Question 568692: Find the dimension of a rectangular Persian rug whose perimeter is 18 ft. and whose area is 20 ft^2?
what are the length and width?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the dimension of a rectangular Persian rug whose perimeter is 18 ft. and whose area is 20 ft^2?
what are the length and width?
-------------------------------------
Perimeter = 2(L + W)
----------------
L+W = 9
LW = 20
-----
L = 9-W
----
Substitute for "L" and solve for "W":
(9-W)W = 20
-W^2+9W = 20
---
W^2-9W+20 = 0
-----
(W-5)(W-4) = 0
If W = 5, L = 4
If W = 4, L = 5
========================
Cheers,
Stan H.
=============
RELATED QUESTIONS
Find the dimensions of a rectangular Persian rug whose perimeter is 22 ft and whose area... (answered by macston)

Find the dimensions of a rectangular Persian rug whose perimeter is 24 ft and whose area... (answered by greenestamps)

find the dimensions of a rectangular persian rug whose perimeter is 32 ft and whose area... (answered by mananth)

find the length and the width of a rectangle whose perimeter is 18 ft whose area is 20... (answered by ankor@dixie-net.com)

Find the dimensions of a rug whose perimeter is 42 ft and area is 108... (answered by MathLover1)

find the dimensions of a rug whose perimeter is 24 and whose area is 35 ft... (answered by friesr)

how ould u find the area of a rectangular rug whose length is 3x-2 and width... (answered by edjones)

The perimeter of a standard-sized rectangular rug is 24 ft. The length is 2 ft longer... (answered by tommyt3rd)

A rug is shaped like a rectangle whose perimeter is 112 ft. The length is 3 times as long (answered by Alan3354,math_helper)