SOLUTION: You have 60 feet of fencing to fence in part of your backyard for your dog. You want to make sure that your dog has 400 square feet of space to run around in. The back of your hous

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Question 1021688: You have 60 feet of fencing to fence in part of your backyard for your dog. You want to make sure that your dog has 400 square feet of space to run around in. The back of your house will be used as one side of the enclosure.
A. Write equations in terms of l and w for the amount of fencing and the area of the enclosure.
I just need the equations I can do the rest.

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
W=width (perpendicular to house); L=length (parallel to house)
.
LW=400ft%5E2
L=%28400ft%5E2%29%2FW
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L%2B2W=60ft
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Those are the equations needed.
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%28%28400ft%5E2%29%2FW%29%2B2W=60ft
400%2B2W%5E2=60W
2W%5E2-60W%2B400=0
W%5E2-30W%2B200=0
%28W-10%29%28W-20%29=0
W-10=0 OR W-20=0
W=10 OR W=20
.
If W=10 ft:
L=%28400ft%29%2F%2810ft%29=40ft
.
If W=20 ft:
L=%28400ft%5E2%29%2F%2820ft%29=20ft
.