SOLUTION: The length and breadth of a rectangle are in ratio 4:3.If the diagonal measures 25cm,find the perimeter of the rectangle.

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Question 460154: The length and breadth of a rectangle are in ratio 4:3.If the diagonal measures 25cm,find the perimeter of the rectangle.
Answer by stanbon(75887) About Me  (Show Source):
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The length and breadth of a rectangle are in ratio 4:3.If the diagonal measures 25cm,find the perimeter of the rectangle.
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legs are 4x and 3x respectively.
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Equation:
(4x)^2 + (3x)^2 = 25^2
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16x^2 + 9x^2 = 25^2
25x^2 = 25^2
x^2 = 25
x = 5
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legs are 4*5 and 3*5
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Perimeter = (20+15+25) = 60 cm
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Cheers,
Stan H.
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