SOLUTION: Rectangular stage. One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters , then what are the lengths of the sides?

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Question 145447: Rectangular stage. One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters , then what are the lengths of the sides?
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
let x =width
Also x+2 = length (2meters longer)
Then diagonal, which served as the hypotenuse = 10 meters. Marked as "y".
by Pyth. Theorem,
y%5E2+=+%28x%2B2%29%5E2+%2B+x%5E2 ----------- eqn 1
10%5E2+=+x%5E2+%2B+4x+%2B+4+%2B+x%5E2
100+=+2x%5E2+%2B+4x+%2B4
2x%5E2+%2B+4x+-96=0
x%5E2+%2B+2x+-48+=+0
%28x%2B8%29%28x-6%29=0
x=+-8, not to use being negative (-)
x=+6, perfect!
So, the width+=+x+=+6+meters
And the Length+=+6%2B2+=+8+meters
In doubt? Go back eqn 1,
10%5E2+=+%286%2B2%29%5E2+%2B+6%5E2
100=+64+%2B+36
100=100
Thank you,
Jojo