A rectangular field measures 72
meters by 81
meters. What will it cost to cover the field with pallets of grass each covering 90 square yards and costing $249
per pallet?
First, we need to find the area of the rectangular field in square yards.
1 meter = 1.09361 yards
So, the dimensions of the field in yards are:
Length = 72 m * 1.09361 yd/m = 78.74092 yd
Width = 81 m * 1.09361 yd/m = 88.73241 yd
Area of field = Length * Width = 78.74092 yd * 88.73241 yd = 6,988.8888 square yards
Now, we need to find how many pallets of grass we will need to cover the field.
1 square yard = 0.11111 square yards per pallet
So, the number of pallets needed is:
Number of pallets = Area of field / Square yards per pallet
= 6,988.8888 sq yd / 0.11111 sq yd per pallet
= 62,900.0088 pallets
We can't buy partial pallets, so we need to round up to the nearest whole number of pallets.
Number of pallets needed = 62,901
Finally, we can calculate the total cost:
Total cost = Number of pallets * Cost per pallet
= 62,901 pallets * $249 per pallet
= $15,672,249
So it will cost $15,672,249 to cover the field with pallets of grass.
To find the total cost to cover the field with pallets of grass, we need to determine the number of pallets required.
First, let's convert the measurements of the field from meters to yards:
Length of the field in yards = 72 meters * 1.094 yards/meter = 78.848 yards (rounded to three decimal places)
Width of the field in yards = 81 meters * 1.094 yards/meter = 88.914 yards (rounded to three decimal places)
Next, let's calculate the area of the field in square yards:
Area of the field = Length * Width = 78.848 yards * 88.914 yards = 7,009.09 square yards (rounded to two decimal places)
Now, let's calculate the number of pallets required:
Number of pallets = Area of the field / Area covered by each pallet = 7,009.09 square yards / 90 square yards = 77.879 pallets (rounded up to the nearest whole number)
Since we cannot have a fraction of a pallet, we will need to purchase 78 pallets.
Finally, let's calculate the total cost:
Total cost = Number of pallets * Cost per pallet = 78 pallets * $249/pallet = $19,422
Therefore, it will cost $19,422 to cover the field with pallets of grass.