SOLUTION: A rectangle has a diagonal of 5 meters and perimeter of 14 meters. Find the length and width of the rectangle.
Algebra.Com
Question 610811: A rectangle has a diagonal of 5 meters and perimeter of 14 meters. Find the length and width of the rectangle.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
P = 2L+2W
14 = 2L+2W
7 = L+W
L = 7-W
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L^2+W^2 = 5^2
L^2+W^2 = 25
(7-W)^2+W^2 = 25
49-14W+W^2+W^2 - 25 = 0
2W^2-14W+24 = 0
W^2-7W+12=0
(W-4)(W-3) = 0
W-4=0 or W-3=0
W = 4 or W = 3
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So the width is 3 meters and the length is 4 meters.
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