The figure below represents a garden in which a flower bed ( inner rectangle) is to be installed. The garden ( excluding the flower bed) is to be sodded.
The outer is 9' ft width and 15' ft long and the inner is 3'ft wide and 7'ft long.
A) Find the area of the region which is to be sodded.
B) If 8'' of topsail is to be spread before the sod is laid, calculate how much topsail is required. Give your answer in cubic feet. Thanks
A. (9*15) - (3*7) = ?
B. Answer to A * 8/12 to get topsOil volume.
To find the area of the region which is to be sodded, we need to find the area of the outer rectangle and subtract the area of the inner rectangle:
A) Area of the outer rectangle = length × width = 15 ft × 9 ft = 135 sq ft
Area of the inner rectangle = length × width = 7 ft × 3 ft = 21 sq ft
Area of the region to be sodded = Area of the outer rectangle - Area of the inner rectangle
= 135 sq ft - 21 sq ft
= 114 sq ft
Therefore, the area of the region which is to be sodded is 114 square feet.
B) To calculate the amount of topsail required, we first need to determine the volume of topsail needed based on the area of the region to be sodded. Since the topsail will be spread 8 inches thick, we need to convert inches to feet before calculating the volume.
1 ft = 12 inches
Volume of topsail required = Area of the region to be sodded × Thickness
= 114 sq ft × (8 inches ÷ 12) ft
= 76 cubic ft
Therefore, 76 cubic feet of topsail is required.