A square lawn is 144m squared. it is surrounded by a path that is 1.5 m. how long is the outer edge of the lawn?
The square lawn is 12 by 12, assuming that the path is not part of the lawn.
With the path, the side is 12 + 2(1.5) = ?
To find the length of the outer edge of the lawn, we need to calculate the side length of the square and then add the length of the path on all four sides.
Step 1: Calculate the area of the square lawn:
Given that the area of the square lawn is 144m², we can use the formula for the area of a square (A = side × side) to find the side length.
144 = side × side
Step 2: Solve for the side length:
To find the side length, we take the square root of both sides of the equation.
√144 = √(side × side)
12 = side
Step 3: Calculate the outer edge length:
To find the outer edge length, we add the length of the path on all four sides of the square. Since the path is 1.5m wide, we add 1.5m to each side of the square.
Outer edge length = side + side + side + side + path + path + path + path
Outer edge length = 12 + 12 + 12 + 12 + 1.5 + 1.5 + 1.5 + 1.5
Outer edge length = 48 + 6
Outer edge length = 54m
Therefore, the outer edge of the lawn is 54m.
To find the length of the outer edge of the lawn, we need to determine the length of each side of the square. Since the area of the square lawn is given as 144m^2, we can use the formula for the area of a square, which is side length squared.
Let's denote the side length of the square lawn as "x". According to the problem, the area of the square lawn is 144m^2. Therefore, we can set up the equation:
x^2 = 144
To solve for x, we take the square root of both sides of the equation:
√(x^2) = √144
x = 12
So, the length of each side of the square lawn is 12 meters.
Now, we need to consider the path that surrounds the lawn. The path has a width of 1.5 meters, meaning it extends 1.5 meters on each side of the lawn. Therefore, the total length of each outer edge of the lawn, including the path, is:
12m + 1.5m + 1.5m = 15 meters
Hence, the outer edge of the lawn is 15 meters long.