SOLUTION: The school stage is rectangular in shape. Its diagonal is 13 m the length of the rectangle is 7 m longer than its width. Find the length and the width of the rectangle
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Question 606640: The school stage is rectangular in shape. Its diagonal is 13 m the length of the rectangle is 7 m longer than its width. Find the length and the width of the rectangle Answer by jimdris(2) (Show Source):
You can put this solution on YOUR website! X^2 + (X + 7)^2 = 13^2 (Pythagorean theorem)
X^2 + X^2 + 14X + 49 = 169
2X^2 + 14X = 120
X^2 + 7X = 60
X(X+7) = 60
X = 5 WIDTH OF STAGE
X+ 7 = 12 LENGTH OF STAGE
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