SOLUTION: The perimeter of a rectangular field is 480 meters and the area is 10,800 meters squared. Find the dimensions Can you please help me with this question? Thanks so much in advanc

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Question 698600: The perimeter of a rectangular field is 480 meters and the area is 10,800 meters squared. Find the dimensions
Can you please help me with this question? Thanks so much in advance :)

Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
Let's use 2 equations for this, L is Length and W is Width:
2L+2W=480
L(W)=10800 rewritten as: L=10800/W
Use substitution for this:
2(10800/W)+2W=480 or rewritten as: 21600/W+2W=480
Multiply by W:
21600+2w^2=480W

Divide by 2 and subtract 240W:
W^2 -240W +10800 =0
Factor:
(W-180)(W-60)
Solve for W
Width=60 meters
Length=180 meters