Question

a lawn is in the shape of a trapezoid with a height of 40 feet and bases of 30 feet and 170 feet. how many bags of fertilizer must be purchased to cover the lawn if each bag covers 2400 square feet? (round up to the nearest bag.)

Explanation:

Step1: Calculate the area of the trapezoid

Use the formula for the area of a trapezoid $A=\frac{(b_1 + b_2)h}{2}$, where $b_1 = 30$ feet, $b_2=170$ feet and $h = 40$ feet.
$A=\frac{(30 + 170)\times40}{2}=\frac{200\times40}{2}=4000$ square - feet.

Step2: Determine the number of bags

Divide the area of the lawn by the area covered by each bag. Let's assume each bag covers 2400 square - feet.
Number of bags $n=\frac{4000}{2400}=\frac{5}{3}\approx1.67$.

Step3: Round up

Since we need to cover the entire lawn and we can't buy a fraction of a bag, we round up to the nearest whole number.

Answer:

2