SOLUTION: the perimeter of a rectangular field is 500 yard and its area is 14400 sq yards what is length and breath

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Question 964104: the perimeter of a rectangular field is 500 yard and its area is 14400 sq yards what is length and breath
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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L=length; W=width; P=perimeter=500yds; A=area=14400 sq yds
P=2(L+W)
500yds=2(L+W)
250yds=L+W
250yds-W=L Use this to substitute for L
LW=A Substitute for L from above.
%28250yds-W%29%28W%29=14400yds%5E2
-W%5E2%2B250W=14400 Subtract 14400 from each side.
-W%5E2%2B250W-14400=0 Multiply by -1.
W%5E2-250W%2B14400=0
%28W-160%29%28W-90%29=0
W-160=0 or W-90=0
W=160 or W=90
ANSWER: The length and width are 160 yds by 90 yds.
CHECK:
P=2(L+W)
500yds=2(160yds+90yds)
500yds=2(250yds)
500yds=500yds