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9 August, 23:00

A square playground is surrounded by a sidewalk on all sides. The sidewalk is 2n+3 yards long on each side of the park. The sidewalk is 0.5 yard wide. What is the perimeter of the playground?

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  1. 10 August, 01:51
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    Perimeter = 8n+8 yards.

    Step-by-step explanation:

    We are given the length of sidewalk of each side of the park = 2n+3 yards.

    Also, sidewalk is 0.5 yard wide from each side.

    Therefore, length of a side of the square playground would be 0.5+0.5 on each side of side walk.

    Therefore, length of a side of the square playground = 2n+3 - (0.5+0.5)

    = 2n+3-1 = 2n+2.

    The perimeter of the square = 4 (side).

    Therefore, the perimeter of the square playground = 4 (2n+2) = 8n+8 yards.
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