SOLUTION: A rectangle is 4 times as long as it is wide. If the length of the diagonal is 51 centimeters, the length of the rectangle is?

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Question 971621: A rectangle is 4 times as long as it is wide. If the length of the diagonal is 51 centimeters, the length of the rectangle is?
Answer by amarjeeth123(570) About Me  (Show Source):
You can put this solution on YOUR website!
Let the width be x.
Then the length is 4x.
The length of the diagonal is √x^2+(4x)^2=√x^2+16x^2=√17x
Length of the diagonal is 51 cm.
√17x=51
√17x=17*3
x=√17*3=12.37 cm
The length of the rectangle is 49.477 cm.