Question

a lawn is in the shape of a trapezoid with a height of 50 feet and bases of 70 feet and 130 feet. how many bags of fertilizer must be purchased to cover the lawn if each bag covers 2400 square feet? bags of fertilizer must be purchased to cover the lawn. (round up to the nearest bag )

Explanation:

Step1: Calculate trapezoid area

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1 = 70$, $b_2=130$ and $h = 50$.
$A=\frac{(70 + 130)\times50}{2}$
$=\frac{200\times50}{2}$
$= 5000$ square - feet.

Step2: Determine number of bags

Divide the total area of the lawn by the area covered by each bag. Let $n$ be the number of bags.
$n=\frac{5000}{2400}\approx2.083$.
Since we need to cover the entire lawn and we can't buy a fraction of a bag, we round up.

Answer:

3