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?

By: USER5186
3 September 2025 mathematics 5 minutes
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Question

Grade: Education Subject: mathematics
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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Answer:

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.


Answered on 3 September 2025

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