Arectangular field measures 81
meters by 117
meters. what will it cost to cover the field with pallets of grass each covering 90 square yards and costing $210
per pallet? (hint: 1 yd almost equals 0.9 m
)

It will cost $27300 to cover the field with grass

Step-by-step explanation:

* Lets explain how to solve the problem

- The field shaped rectangle with dimensions 81 and 117 meters

- The field with covered by grass

- The pallets of the grass covering 90 yard²

- The cost of the pallet is $210

* At first lets change the dimensions of the field from meter to yard

∵ 1 yard = 0.9 meter ⇒ multiply both sides by 10

∴ 10 yards = 9 meters ⇒ divide both sides by 9

∴ 1 meter = 10/9 yards

∵ The dimensions of the field are 81 and 117 meters

∴ 81 × 10/9 = 90 yards

∴ 117 × 10/9 = 130 yards

- Remember that the area of the rectangle = length × width

∵ The dimensions of the field are 90 and 130 yards

∴ The area of the field = 90 × 130 = 11700 yards²

- Lets find the number of pallets which uses to cover the field by

 divide the area of the field by the area covering by one pallet

∵ The pallet covering 90 yards²

∴ The number of pallets = 11700 ÷ 90 = 130 pallets

- You need 130 pallets to cover the field

∵ The cost of one pallet is $210

∴ The cost to cover the field = 130 × 210 = $27300

* It will cost $27300 to cover the field with grass

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