Question

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?write two equivalent expressions for the perimeter of the playground?

Answer 1

Answer:

$4(2n+2.5)$ yards.

$8n+10$ yards.

Step-by-step explanation:

We have been given that a square playground is surrounded by a sidewalk on all sides. The sidewalk is $2n+3$ yards long on each side of the park.

Since side walk is 0.5 yard wide, so each side of playground will be 0.5 less than each side of sidewalk.

$\text{Length of each side of playground}=\text{Length of each side of sidewalk - Width of sidewalk}$

$\text{Length of each side of playground}=2n+3-0.5$

$\text{Length of each side of playground}=2n+2.5$

Since playground is square, so perimeter of playground will be 4 times the length of each side of playground.

$\text{Perimeter of playground}=4(2n+2.5)$

Upon distributing 4 we will get,

$\text{Perimeter of playground}=8n+10$

Therefore, perimeter of playground will be $4(2n+2.5)$ yards or $8n+10$ yards.