Answer: About 3
Step-by-step explanation:
Given : A lawn is in the shape of a trapezoid with following dimensions :-
Height : h = 50 feet
Bases : a = 30 feet and b=170 feet
Area of trapezoid is given by :-
[tex]A=\dfrac{1}{2}(a+b)h\\\\\Rightarrow\ A=\dfrac{1}{2}(30+170)(50)\\\\\Rightarrow\ A=5000\text{ square feet}[/tex]
Also , it is given that each bag covers 2400 square feet.
Then, the number of bags of fertilizer needed = [tex]\dfrac{5000}{2400}=2.0833333\approx3[/tex]
Hence, about 3 bags of fertilizer must be purchased to cover the lawn.
