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A playground is in the form of a rectangle with the length 1 m longer than the breadth. A new rectangular playground is planned that will be 3 m longer than the original length and with a breadth 1 m shorter than that of the original breadth. Determine the difference in perimeter of the two playgrounds.
in Mathematics by Diamond (43,720 points) | 175 views

1 Answer

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Let the breadth of the original playground = x
Therefore the length of the original playground = x +1
Therefore the perimeter of the original playground = 2( x +1+ x)= 4x + 2

The length of the new playground = x + 4
The breadth of the new playground = x -1
Therefore the perimeter of the new playground = 2( x + 4+ x -1) =  4x + 6
Then finally the difference in perimeter = 4x + 6-(4x + 2) = 4 meters
by Diamond (43,720 points)

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