A rectangular field measures 90
meters by 162
meters. What will it cost to cover the field with pallets of grass each covering 90 square yards and costing $214
per pallet? (Hint: 1 yd almost equals 0.9 m
)
First, we need to find the area of the rectangular field in square yards:
90 meters x 162 meters = 14,580 square meters
14,580 square meters/1.196 = 12,184.6 square yards (rounded to the nearest tenth)
Next, we need to determine how many pallets of grass we will need. Since each pallet covers 90 square yards, we can divide the total area by 90:
12,184.6 square yards / 90 square yards per pallet = 135.38 pallets
We round up to 136 pallets to make sure we have enough.
The cost will be the number of pallets multiplied by the cost per pallet:
136 pallets x $214 per pallet = $29,104
Therefore, it will cost $29,104 to cover the field with pallets of grass.
To calculate the cost of covering the field with pallets of grass, we need to first convert the measurements to a consistent unit.
1 yard is approximately equal to 0.9 meters. So, we can convert the width and length of the field to yards by dividing by 0.9:
Width in yards = 90 meters / 0.9 = 100 yards
Length in yards = 162 meters / 0.9 = 180 yards
Next, we need to calculate the total area of the field in square yards. The area of a rectangle is calculated by multiplying its length and width:
Area = Width * Length = 100 yards * 180 yards = 18,000 square yards
Now, we can determine the number of pallets needed to cover the field. Each pallet covers 90 square yards, so the number of pallets required is:
Number of pallets = Area / Area covered by 1 pallet = 18,000 square yards / 90 square yards = 200 pallets
Finally, we can calculate the cost of covering the field with pallets by multiplying the number of pallets by the cost per pallet:
Total cost = Number of pallets * Cost per pallet = 200 pallets * $214 per pallet = $42,800
Therefore, it will cost $42,800 to cover the field with pallets of grass.