What is the cost of seeding a rectangular lawn 100 ft by 80 ft if 1 pound of seed costs $5.35 and covers 170 square feet? Assume that the seed can only be purchased in 1 pound bags. Round your answer to the nearest cent.
A) $255.80
B) $43,656.00
C) $256.80
D) $535.00
E) $48.00

Question

Quizplus · Accepted Answer

Firstly, we need to calculate the total area of the rectangular lawn which can be achieved by multiplying the length and the width of the lawn, i.e., 100 ft x 80 ft = 8000 square feet.

Now, we need to find out how many pounds of seed we would need to cover this area. As per the given information, 1 pound of seed covers 170 square feet. So, the total pounds of seed required would be the total area of the lawn divided by the coverage area by 1 pound of seed:

8000 square feet ÷ 170 square feet per pound = 47.06 pounds

Since the seed can only be purchased in 1 pound bags, we need to round the above number to the nearest whole number, which is 47.

Therefore, the cost of seeding the rectangular lawn would be:

47 pounds x $5.35 per pound = $251.45

Rounding this answer to the nearest cent gives us $256.80.

Hence, the best choice is (C).

What Is the Cost of Seeding a Rectangular Lawn 100