The total cost of cleaning a square park is
$100.00. If the charge was $0.10 per square
meter what is the length of each of the sides of
the park.
We can start by finding the cost per square meter using the given information. We know that the total cost is $100.00 and the charge is $0.10 per square meter. Therefore, $100.00 / $0.10 = 1000 square meters.
Since the park is square, all sides have the same length. So, each side of the square park is sqrt(1000) = 31.62 meters.
To find the length of each side of the park, we need to know the total area of the park. Since the charge is $0.10 per square meter, we can divide the total cost of $100.00 by the cost per square meter to find the total area.
Total area = Total cost / Cost per square meter
Total area = $100.00 / $0.10
Total area = 1000 square meters
Since the park is square, all four sides are equal in length. To find the length of each side, we need to calculate the square root of the total area.
Length of each side = √(Total area)
Length of each side = √(1000)
Length of each side ≈ 31.62 meters (rounded to two decimal places)
Therefore, each side of the park is approximately 31.62 meters long.
To find the length of each side of the park, we need to determine the area of the park first. Since the park is square, all sides have the same length.
Let's use the formula for the area of a square: Area = side^2.
Given that the total cost of cleaning the park is $100.00 and the charge is $0.10 per square meter, we can set up the equation:
Total Cost = Charge per Square Meter x Area
$100.00 = $0.10/m^2 x Area
To isolate Area, we can divide both sides of the equation by $0.10/m^2:
Area = $100.00 / ($0.10/m^2)
Area = 1000 m^2
Now, since the park is a square, all sides have the same length. To find the length of each side, we take the square root of the area:
Side length = √(Area)
Side length = √(1000 m^2)
Side length = 31.62 m (rounded to two decimal places)
Therefore, each side of the park is approximately 31.62 meters long.