Question

Addison needs help installing grass surrounding three sides of her pool in her backyard. She needs to figure out how many bags of grass seed are needed to complete the job. One bag of grass seed covers 2,000 square feet. Her backyard is in the shape of a trapezoid with bases of 100 ft and 150 ft and a height of 80 ft. Her pool is 50 ft by 60 ft. How many bags of grass does she need?

a) 6 bags
b) 8 bags
c) 10 bags
d) 12 bags

Answer 1

Addison will need 7 bags of grass seed to complete the job.

Step-by-step explanation:

To find the area of the trapezoid, we can use the formula:

Area = (1/2) x (sum of the bases) x height

Plugging in the values, we get:

Area = (1/2) x (100 + 150) x 80 = 12500 square feet

Since one bag of grass seed covers 2000 square feet, we divide the total area by the area covered by one bag:

Total bags of grass seed needed = Area / Area per bag = 12500 / 2000 = 6.25 bags

Since we cannot have fractional bags, Addison will need to buy 7 bags of grass seed to complete the job.