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Chapter 2: Problem 33

What is the number of pallets, each with an area of 60 square yards, that would be needed to cover a field that is 3 acres in area? ( 1 acre \(=\) 4,840 square yards)

Short Answer

Expert verified
The short answer version: To cover a 3-acre field with pallets that each have an area of 60 square yards, 242 pallets would be needed. This is calculated by first converting the field's area into square yards (3 acres * 4,840 square yards/acre = 14,520 square yards) and then dividing this by the area of each pallet (14,520 square yards / 60 square yards per pallet = 242 pallets).

Step by step solution

01

Convert acres to square yards

We are given the area of the field as 3 acres. To convert it into square yards, we must multiply the area in acres by the conversion factor, which is 4,840 square yards per acre. So, the total area of the field in square yards is: Area (square yards) = Area (acres) * Conversion factor Area (square yards) = 3 acres * 4,840 square yards/acre
02

Calculate the number of pallets

Now that we have the area of the field in square yards, we will divide it by the area of each pallet (60 square yards) to find out how many pallets are needed to cover the entire field: Number of pallets = Area (square yards) / Area of each pallet (square yards) Number of pallets = (3 acres * 4,840 square yards/acre) / 60 square yards
03

Solve for the number of pallets

Now, let's solve for the number of pallets required: Number of pallets = (3 * 4,840) / 60 Number of pallets = 14,520 / 60 Number of pallets = 242 Thus, 242 pallets, each with an area of 60 square yards, are needed to cover the field that is 3 acres in area.

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