SOLUTION: if a rectangle has an area of 60 in and a perimeter of 38 in, what is the length and width?

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Question 346245: if a rectangle has an area of 60 in and a perimeter of 38 in, what is the length and width?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a rectangle,
1.A=L%2AW=60
.
.
P=2L%2B2W=38
2.L%2BW=19
From eq. 2,
L=19-W
Substitute into eq. 1,
%2819-W%29W=60
19W-W%5E2=60
W%5E2-19W%2B60=0
%28W-15%29%28W-4%29=0
Two solutions:
W-15=0
W=15in
From eq. 1,
L=4in
.
.
.
W-4=0
W=4in
From eq. 1,
L=15in
.
.
.
The rectangle measure 4 inches by 15 inches.