Question

A pawn is in the shape of a rectangle of a trapezoid with a height of 60 feet and based of 80 feet and 120 feet how many bags of fertilizer must be purchased to cover the lawn if each bag covers 4000 square feet ? Bags of fertilizer must be purchased to cover the lawn

Answer 1

2 bags

Explanations:

First, we need to get the area of the trapezoid. This is expressed as:

`A=0.5(a+b)h`

a and b are the bases

h is the height of the trapezoid

Given the following parameters

a = 80 feet

b = 120 feet

h = 60 feet

Substitute the given parameters into the formula:

`\begin{gathered} A=0.5(120+80)\cdot60 \\ A=0.5*200*60 \\ A=6000ft^2 \end{gathered}`

If each bag covers 4000 square feet of the lawn, the number of bags needed to be purchased is expressed as:

`\begin{gathered} n=(A)/(4000) \\ n=(6000)/(4000) \\ n=1.5\text{bags} \\ n\approx2\text{bags} \end{gathered}`

This shows that 2 bags of fertilizer must be purchased to cover the lawn (to the nearest bag)