Chris wants to put a concrete path and a fence around his rectangular garden. The concrete path will be 1 meter wide and the fence will go around the edge of the path. The garden itself measures 5 meters by 8 meters.
A)Calculate the perimeter of the fence.
B)Calculate the area of the concrete path.
C)If the thickness of the concrete path is 60mm, Calculate the volume of concrete needed.
A. 2(5+1) + 2(8+1) = ?
B. (6*9) - (5*8) = ?
C. B * .06m = ?
Please the correct answer to b question is
[(5+2)*(8+2)]-(5*8)
To calculate the perimeter of the fence (A), we need to add the length of all four sides of the garden. Since Chris wants to place a 1-meter wide concrete path around the garden, we need to add 2 meters to both the length and width of the garden.
A) Perimeter of the fence:
Perimeter = 2(length + width)
Perimeter = 2(5m + 2m + 8m + 2m)
Perimeter = 2(17m)
Perimeter = 34m
The perimeter of the fence is 34 meters.
To calculate the area of the concrete path (B), we need to subtract the area of the garden from the area of the larger rectangle formed by the outer edge of the path.
B) Area of the concrete path:
Area of larger rectangle = (length + 2 × path width) × (width + 2 × path width)
Area of larger rectangle = (5m + 2 × 1m) × (8m + 2 × 1m)
Area of larger rectangle = (5m + 2m) × (8m + 2m)
Area of larger rectangle = 7m × 10m
Area of larger rectangle = 70m²
Area of garden = length × width
Area of garden = 5m × 8m
Area of garden = 40m²
Area of concrete path = Area of larger rectangle - Area of garden
Area of concrete path = 70m² - 40m²
Area of concrete path = 30m²
The area of the concrete path is 30 square meters.
To calculate the volume of concrete needed (C), we need to multiply the area of the concrete path by the thickness of the path.
C) Volume of concrete needed:
Volume of concrete = Area of concrete path × thickness
Note: The thickness should be converted to meters because the other measurements are in meters.
Thickness = 60mm = 60/1000 = 0.06m
Volume of concrete = 30m² × 0.06m
Volume of concrete = 1.8m³
The volume of concrete needed is 1.8 cubic meters.