Question

50 feetA lawn is in the shape of a trapezoid with a height of40 feet and bases of 50 feet and 150 feet. Howmany bags of fertilizer must be purchased to coverthe lawn if each bag covers 2400 square feet?40 feet150 feet....bags of fertilizer must be purchased to cover the lawn.(Round up to the nearest bag.)

Answer 1

The area of a trapezoid is given by the formula

`A=(a+b)/(2)h`

where a and b are the bases, and h is the height.

Therefore, in our case,

`\begin{gathered} a=50,b=150,h=40 \\ \Rightarrow A=((50+150))/(2)\cdot40=(200)/(2)\cdot40=100\cdot40=4000 \\ \Rightarrow A=4000ft^2 \end{gathered}`

The area is equal to 4000ft^2

Finally, divide the total area by the surface one can cover with one bag of fertilizer, as shown below

`(4000)/(2400)=(5)/(3)\approx1.6666\ldots\approx2`

Therefore, once we have rounded it up, the answer is 2 bags.