Q:

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

Accepted Solution

A:
Answer:It will cost $27300 to cover the field with grassStep-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