Ryder shot a model rocket over an area that consists of two grassy areas, shown in green, and an area with no grass, shown in white.

Question

A square is split into 3 sections. The bottom section is 5 acres, the middle section is 30 acres, and the top section is 15 acres. The top and bottom sections are shaded.

What is the probability that his model rocket has landed in a grassy area?

0.2
0.3
0.4
0.6

Answer 1

To find the probability that the model rocket has landed in a grassy area, we need to determine the total area and the area that consists of grass.

From the problem, we have the following areas:

• Bottom section (grass): 5 acres (shaded)
• Middle section (no grass): 30 acres
• Top section (grass): 15 acres (shaded)

Now let's calculate the total area:

\[ \text{Total Area} = \text{Bottom Section} + \text{Middle Section} + \text{Top Section} = 5 + 30 + 15 = 50 \text{ acres} \]

Next, we find the total grassy area:

\[ \text{Total Grassy Area} = \text{Bottom Section} + \text{Top Section} = 5 + 15 = 20 \text{ acres} \]

Now, we can find the probability that the rocket has landed in a grassy area by dividing the total grassy area by the total area:

\[ P(\text{Grassy Area}) = \frac{\text{Total Grassy Area}}{\text{Total Area}} = \frac{20}{50} = 0.4 \]

Thus, the probability that Ryder's model rocket has landed in a grassy area is 0.4.