Question

Question 1

Ben wants to fertilize the grass at a local park. The area of the grass-covered portion of the park is shaded in the diagram to the left. In square feet, what is the area of the grass-covered portion of the park?


A: 5,400


B: 6,880


C: 7,000


D: 8,600




Question 2


If a bag of fertilizer covers 500 square feet, how many bags of fertilizer will Ben need to purchase?

Answer 1

Question 1: A - 5,400sqft

Question 2: 11 bags of fertilizer

Explanation:

Question 1: You need the areas of the white squares added together and then subtracted from the total area of the park.

• 100 * 70 = 7,000 (The Park)
• 20 * 60 = 1,200 (The Swings)
• 20 * 20 = 400 (The Slide)

1. 1,200 + 400 = 1,600 (The total white area)
2. 7,000 - 1,600 = 5,400 (The shaded area)

Question 2: To find the number of bags needed to fertilize the grass we simply divide the area one bag can fertilize by the shaded area. We could use a basic equation such as:

• 500x = 5,400
• 500x/500 = 5,400/500
• x = 10.8

In this equation x represents the number of bags needed to fertilize the shaded area. The answer is 10.8, but logically speaking you cannot buy .8 of a bag so you just round up to 11.