SOLUTION: If rectangle ABCD has an area of 10 square inches and a perimeter of 22 inches. What is the length and width?

Question 950064: If rectangle ABCD has an area of 10 square inches and a perimeter of 22 inches. What is the length and width?
Found 2 solutions by Fombitz, lwsshak3:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Area:

Perimeter:

Substitute from first equation,

Two solutions,

Then,

and

Then,

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If rectangle ABCD has an area of 10 square inches and a perimeter of 22 inches. What is the length and width?
***
let x=width
let y=length
..
2x+2y=perimeter=22
x*y=area=10
y=10/x
2x+2y=2x+2(10/x)=22
2x+20/x=22
lcd:x
2x^2+20=22x
x^2-11x+10=0
(x-10)(x-1)=0
x=1
y=10/x=10
width=1 inch
length=10 inches

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