Question

A lawn is in the shape of a trapezoid with a height of 5050 feet and bases of 3030 feet and 170170 feet. How many bags of fertilizer must be purchased to cover the lawn if each bag covers 24002400 square​ feet?

Answer 1

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 :-

$A=\dfrac{1}{2}(a+b)h\\\\\Rightarrow\ A=\dfrac{1}{2}(30+170)(50)\\\\\Rightarrow\ A=5000\text{ square feet}$

Also , it is given that each bag covers 2400 square​ feet.

Then, the number of bags of fertilizer needed = $\dfrac{5000}{2400}=2.0833333\approx3$

Hence, about 3 bags of fertilizer must be purchased to cover the lawn.