SOLUTION: 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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Question 174158This question is from textbook Elementary and Intermediate Algebra
: 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? This question is from textbook Elementary and Intermediate Algebra

Answer by nerdybill(7384) About Me  (Show Source):
You can 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?
.
Let x = width of rectangle
then
x+2 = length of rectangle
.
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
.
x = {-8, 6}
tossing out the negative solution leaves us with:
x = 6 meters (width)
.
length
x+2 = 6+2 = 8 meters