Use the image to answer the question.
An illustration shows a shape that appears as a square with a semicircle attached on the left side and the top. The side of the square is 2 inches and the diameter of the semicircles is 2 inches. The overlapping lines, which include the top and left side of the square, are marked as dashed lines. Right angle symbols are shown on the top left and bottom right corners of the square.
You are making a card for a friend that looks like a heart shape. Solve for the total area of the shape. Use 3.14 as pi. Round the answer to the nearest hundredth.
(1 point)
Responses
10.28 in.2
10.28 in. squared
5.57 in.2
5.57 in. squared
16.56 in.2
16.56 in. squared
7.14 in.2
7.14 in. squared
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To solve for the total area of the shape, we need to find the area of the square and the area of the two semicircles.
The area of a square is found by multiplying the length of one side by itself. In this case, the side of the square is 2 inches, so the area of the square is 2 * 2 = 4 square inches.
The area of a circle is found by multiplying pi (3.14) by the square of the radius. In this case, the diameter of the semicircle is 2 inches, so the radius is half of that, which is 1 inch.
The area of each semicircle is (1/2) * 3.14 * 1 * 1 = 1.57 square inches. Since there are two semicircles in the shape, the total area of the semicircles is 2 * 1.57 = 3.14 square inches.
To find the total area of the shape, we add the area of the square and the area of the semicircles: 4 + 3.14 = 7.14 square inches.
Therefore, the answer is:
7.14 in.2 or 7.14 in. squared.