The perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.
Perimeter of a rectangle = 2 (length and breadth)
the scale of the drawing is 1:500
let's assume that the length of the scale drawing playground is x and the breadth of the scale drawing playground is y. therefore, the length of the playground is 500x and the breadth is 500y.
Perimeter of the scale drawing playground = 2(length+breadth)
[tex]= 2 (x+y)[/tex]
Perimeter of the real playground = 2(length+breadth)
[tex]=2 (500x+500y)\\=2 \times 500(x+y)\\= 1000 (x+y)[/tex]
Hence, the perimeter of the real playground is 1000(x+y) meters where x and y are the length and breadth of the scale drawing playground.
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