Question

a lawn is in the shape of a trapezoid with a height of 60 feet and bases of 50 feet and 150 feet. how many bags of fertilizer must be purchased to cover the lawn if each bag covers 3000 square feet? (round up to the nearest bag.)

Explanation:

Step1: Calculate the area of the trapezoid

Use the formula $A=\frac{(b_1 + b_2)h}{2}$, where $b_1 = 50$ feet, $b_2=150$ feet and $h = 60$ feet. So $A=\frac{(50 + 150)\times60}{2}=\frac{200\times60}{2}=6000$ square - feet.

Step2: Determine the number of bags

Divide the area of the lawn by the area covered by each bag. Let $n$ be the number of bags. $n=\frac{6000}{3000}=2$.

Answer:

2