SOLUTION: A RECTANGLE IS 16M BY9M.FIND A SIDE OF THE SQUARE WHOSE AREA EQUALS THE AREA OF THE RECTANGLE. BY HOW MUCH DOES THE PERIMETER OF THE RECTANGLE EXCEED THE PERIMETER OF THE SQUARE.

Algebra ->  Rectangles -> SOLUTION: A RECTANGLE IS 16M BY9M.FIND A SIDE OF THE SQUARE WHOSE AREA EQUALS THE AREA OF THE RECTANGLE. BY HOW MUCH DOES THE PERIMETER OF THE RECTANGLE EXCEED THE PERIMETER OF THE SQUARE.      Log On


   



Question 401362: A RECTANGLE IS 16M BY9M.FIND A SIDE OF THE SQUARE WHOSE AREA EQUALS THE AREA OF THE RECTANGLE. BY HOW MUCH DOES THE PERIMETER OF THE RECTANGLE EXCEED THE PERIMETER OF THE SQUARE.
Answer by mananth(16946) About Me  (Show Source):
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A RECTANGLE IS 16M BY9M.FIND A SIDE OF THE SQUARE WHOSE AREA EQUALS THE AREA OF THE RECTANGLE. BY HOW MUCH DOES THE PERIMETER OF THE RECTANGLE EXCEED THE PERIMETER OF THE SQUARE.
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Area of rectangle = 16*9= 144 m^2
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Area of square = L^2 = 144
L= 12 m
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Perimeter of rectangle = 2*(L+W) ===>2*(16+9)
Perimeter = 50 m
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Perimeter of square = 4*L = 48 m
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Difference = 2 m
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