A 2m wide path is built around a 20m square swimming pool. The distance around the outside of the path will be:
A) 96m B) 48m
C) 92m D) 56m
Also, please explain how you got the answer, thanks.
Make a sketch of the 20 by 20 square pool
sketch the 2 m wide path all around the square pool
Notice that each side is now 24
What is 4 times 24 ?
what is the area?
To find the distance around the outside of the path, we need to calculate the perimeter of the path.
First, let's calculate the dimensions of the inner square, which represents the swimming pool.
The width of the path is given as 2m, which means the inner square will be 20m - 2m - 2m = 16m on each side.
Now, let's calculate the perimeter of the outer square, which represents the path.
The outer square will be 16m + 2m + 2m = 20m on each side since we add the width of the path on each side of the inner square.
The perimeter of the outer square is simply the sum of all four sides, so it will be 20m + 20m + 20m + 20m = 80m.
Therefore, the distance around the outside of the path will be 80m.
Since none of the given answer choices matches 80m, we can conclude that none of the provided options is correct.