Respuesta :
Answer:
[tex]4(2n+2.5)[/tex] yards.
[tex]8n+10[/tex] yards.
Step-by-step explanation:
We have been given that a square playground is surrounded by a sidewalk on all sides. The sidewalk is [tex]2n+3[/tex] 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.
[tex]\text{Length of each side of playground}=\text{Length of each side of sidewalk - Width of sidewalk}[/tex]
[tex]\text{Length of each side of playground}=2n+3-0.5[/tex]
[tex]\text{Length of each side of playground}=2n+2.5[/tex]
Since playground is square, so perimeter of playground will be 4 times the length of each side of playground.
[tex]\text{Perimeter of playground}=4(2n+2.5)[/tex]
Upon distributing 4 we will get,
[tex]\text{Perimeter of playground}=8n+10[/tex]
Therefore, perimeter of playground will be [tex]4(2n+2.5)[/tex] yards or [tex]8n+10[/tex] yards.
