Sodding a Lacrosse Field
Rob Marshall wishes to replace the grass (sod) on a lacrosse field. One pallet of Bethel Farms sod costs $175 and covers 450 square feet. If the area to be covered is a rectangle with a length of 330 feet and a width of 270 feet, determine
a) the area to be covered with sod.
b) how many pallets of sod Rob needs to purchase.
c) the cost of the sod purchased.
a) The area to be covered is
A = l ⋅ w = 330 ⋅ 270 = 89,100 \text{ft}^2
The area to be covered is in square feet because both the length and the width are measured in feet.
b) To determine the number of pallets of sod Rob needs, divide the area to be covered by the area covered by one pallet of sod.
\frac{\text{Area to be covered}}{\text{Area covered by one pallet}} = \frac{89,100}{450} = 198
Rob needs 198 pallets of sod.
c) The cost of 198 pallets of sod is 198 × $175, or $34,650.