Question

A square playground is surrounded by a sidewalk on all sides. The sidewalk is 2n+3 yards along each side. The sidewalk is 0.5 yard wide. What is the perimeter of the playground? Write two equivalent expressions for the perimeter of the playground.

Answer 1

Answer: It can be calculated by using the formula of perimeter and by adding four sides

1) Perimeter= 2(L+B)= 8n+12

2) Perimeter= L+L+L+L= 4L= 8n+12

Explanation:

As it is a square playground all its sides are equal

Perimeter of the sidewalk = 2(L+B)= 2(2n+3+0.5)= 2(2n+3.5)= 4n+7

Perimeter of the square playground= 2(L+B)= 2(2n+3+2n+3)

2(4n+6)= 8n+12-------------------------A

Perimeter of the square playground= L+L+L+L=4L 42n+3+2n+3+2n+3+2n+3=4(2n+3)= 8n+12------------------------B