SOLUTION: The area of the rectangle is 80 square centimeters. If the perimeter is 36 centimeters, find the length and width of the rectangle.

Question 526370: The area of the rectangle is 80 square centimeters. If the perimeter is 36 centimeters, find the length and width of the rectangle.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
P = 2(L+W)
P = 36
2L + 2W = 36
.
L * W = 80
so
L = 80/W
.
substitute
.
2(80/W) +2W = 36
.
multiply both sides by W to eliminate the fraction
.
2(80) + 2W*W = 36W
.
divide both sides by 2
.
80 + W^2 = 18W
.
W^2 -18W +80 = 0
.
factor
.
(W -8)(W-10) = 0
.
W = 8 or 10
which means
L = 10 or 8
respectively
.
Answer: Length = 10 and Width = 8 OR Length = 8 and Width = 10.
.
Done.
RELATED QUESTIONS
[ The area of a rectangle is 440 square centimeters; The perimeter is 84 centimeters.... (answered by TimothyLamb)

the length of a rectangle is twice its width its perimeter is 36 centimeters find the... (answered by mananth)

Find the dimensions of a rectangle whose width is (4x - 3), length is (3x + 2), and the (answered by mananth)

the length of a rectangle is 6 centimeters less than four times its width. If the area is (answered by asuar010)

the length of a rectangle is 4 centimeters less than three times its width. If the area... (answered by ewatrrr)

find the perimeter and area of a rectangle with width 5 centimeters and length 16... (answered by solver91311)

Find the perimeter and area of a rectangle with width 5 centimeters and length 16... (answered by texttutoring)

find the length and width of a square area=144 square centimeters perimeter=48... (answered by checkley75)

The length of a rectangle is three centimeters greater than the width. The area is 108... (answered by ankor@dixie-net.com)