SOLUTION: The perimeter of a rectangle is 22cm and its area is 24 square cm. What are the lengths of its sides?

Question 103664: The perimeter of a rectangle is 22cm and its area is 24 square cm.
What are the lengths of its sides?
Found 2 solutions by MathLover1, Fombitz:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let

:

since
divide both sides by
= >
now

since and
we have:

= >

= >

since
we have:
=> or
=> or
=>

or vice versa
check:

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
L-length of the rectangle
W-width of the rectangle
P-perimeter of the rectangle
A-area of the rectangle
Perimeter equation.
Area equation.

Find L as a function of W.

Plug the value in the perimeter equation.

Quadratic equation.
Factor the equation.
W=3 and W=8
When W=3, then
L=24/W=24/3=8
When W=8, then
L=24/W=24/8=3
Your two solutions are
W=3 cm, L=8 cm and W=8 cm, L=3 cm
RELATED QUESTIONS
The Perimeter of a rectangle is 26 cm and its area is 36 cm squared. What are the... (answered by fcabanski)
The perimeter of a rectangle is 22cm. If one side has the length of 7 cm. What is its... (answered by debangan)
A rectangle has an area of 36 square meters. Its length is 2square-root of 3 meters. In... (answered by nycsharkman)
The lengths of the diagonals of a rhombus are 18 cm and 24 cm. What is its perimeter and... (answered by ikleyn)
The perimeter of a rectangle is 20 inches and its area is 24 square inches. What are its... (answered by Fombitz)
The perimeter of a parallelogram is 22cm and its area is 24 square cm. What are the... (answered by Alan3354,ikleyn)
If area of rectangle is 30cm2 and its perimeter is 22 cm what will be lengths of its... (answered by AlbertusK)
A parallelogram has sides 22cm and 10 cm, and one of its angles is 130 degrees. Find the... (answered by josgarithmetic)
The area of a rectangle is 24 square centimeters and its side lengths are x centimeters... (answered by checkley77,advedantatutor)