SOLUTION: Determine the dimensions (i.e. the length and width) of a rectangle whose diagonal is 25 meters and whose perimeter is 62 meters.

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Question 835808: Determine the dimensions (i.e. the length and width) of a rectangle whose diagonal is 25 meters
and whose perimeter is 62 meters.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.D%5E2=L%5E2%2BW%5E2=25%5E2
P=2%2AL%2B2%2AW=62
2.L%2BW=31
From eq. 2,
L=31-W
Substitute into eq. 1,
%2831-W%29%5E2%2BW%5E2=625
961-62w%2BW%5E2%2BW%5E2=625
2W%5E2-62W%2B336=0
W%5E2-31W%2B168=0
%28W-24%29%28W-7%29=0
Two solutions:
W-24=0
W=24
Then from eq. 2,
L%2B24=31
L=7
and
W-7=0
W=7
then L=24