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put this solution on YOUR website! One side of a rectangular stage is 2 meters longe than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
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Let x = width of rectangle
then
x+2 = length of rectangle
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applying pythagorean theorem:
x^2 + (x+2)^2 = 10^2
x^2 + x^2+4x+4 = 100
2x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
(x+8)(x-6) = 0
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x = {-8, 6}
tossing out the negative solution leaves us with:
x = 6 meters (width)
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length
x+2 = 6+2 = 8 meters
