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?

1 answer

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.