Jim's backyard is a rectangle that is \(\frac{95}{6}\) yards long and \(\frac{52}{5}\) yards wide. Jim buys sod in pieces that are \(\frac{4}{3}\) yards long and \(\frac{4}{3}\) yards wide. How many pieces of sod will Jim need to buy to cover his backyard with sod?

By definition, the area of a rectangle is given by: A = ( w ) ∗ ( l ) Where, w: width of the rectangle l: length of the rectangle Substituting values we have: [A = (10 \frac{2}{5} ) * (15 \frac{5}{6})
A = 164.7] Then, the area of each piece of sod is: [A = (1 \frac{1}{3} ) * (1 \frac{1}{3})
A = 1.8] Thus, the number of pieces is given by the division of both areas: [N = (164.7) / (1.8)
N = 91.5] Rounding the nearest whole we have: N = 92 **Answer: ** Jim will need to buy 92 pieces of sod to cover his backyard

Answered by carlosego | 2024-06-11

93 pieces ;

Answered by TaeKwonDoIsDead | 2024-06-11

Jim's backyard measures approximately 82.33 square yards and each piece of sod covers about 1.78 square yards. After calculating the total number of pieces needed, it is determined that Jim will need to buy 47 pieces of sod. This ensures complete coverage of his backyard.
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Answered by carlosego | 2024-09-27