Answer:
247 Raspberry Ave.
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Dear Jenny,
I am glad you wrote me about your difficulty in solving this math problem. It just so happens that my math teacher recently covered this topic. The important thing to remember is that you need to find the areas of the small, individual shapes, and then add them together to find the area of the entire figure.
First, I think we should look at the semi-circle on the left. The formula for the area of a semi-circle is 1/2(πr²) Because 3 is the radius of the semi-circle, the area here is 1/2(π)(9), which equals 14.13 square inches.
Next, we will consider the rectangle in the middle. The formula for the area of a rectangle is fairly simple, length x height, which is 6 x 10 here. Therefore, the area of this rectangle is 60 square inches.
Next, we will calculate the area of the triangle on the right. The formula for the area of a triangle is 1/2 x base x height, which is 1/2 x 4 x 6 here. The solution for the triangle's area is 12 square inches.
Finally, add all three areas; and you will have the area of the whole large shape. When we add 14.13 + 60 + 12, we get 86.13 square inches, which is the area of the entire figure! I hope you understand my instructions clearly.
Sincerely,
Gillian Bender
Explanation: