SOLUTION: A rectangular parking lot has an area of 5,785 square metres and a perimeter of 308 metres. What are the dimensions of the parking lot?

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Question 960803: A rectangular parking lot has an area of 5,785 square metres and a perimeter of 308 metres. What are the dimensions of the parking lot?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
L=length; W=width; P=perimeter=308 meters; A=area=5785 square meters
P=2%28L%2BW%29
308m=2%28L%2BW%29 Divide each side by 2.
154m=L%2BW
154m-W=L Use this to substitute for L.
A=LW
5785m%5E2=LW Substitute for L.
5785m%5E2=%28154m-W%29%28W%29
5785m%5E2=154W-W%5E2 Subtract 5785 sq m from each side.
0=-W%5E2%2B154W-5785m%5E2
0=-1%28W-65%29%28W-89%29
W-65=0 or W-89=0
W=65 or W=89 ANSWER: The width is 89m or 65m.
L=154m-W
L=154m-65m or L=154m-89m
L=89m or L=65m ANSWER: The length is 65m or 89m.
The dimensions of the parking lot are 65 meters by 89 meters.
CHECK:
A=LW
5785m%5E2=%2865m%29%2889m%29
5785m%5E2=5785m%5E2