5 of 55 of 5 Items Question 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.
To find 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 the square is found by taking the side length squared, so the area of the square is (2 inches)^2 = 4 square inches.
The area of a semicircle is found by taking half of the area of the corresponding circle, so we need to find the radius of the semicircle. The diameter of the semicircle is 2 inches, so the radius is half of that, which is 1 inch. The area of a circle is found by multiplying pi (3.14) by the radius squared, so the area of each semicircle is (1 inch)^2 * 3.14 = 3.14 square inches.
Since there are two identical semicircles, the total area of both semicircles is 2 * 3.14 square inches = 6.28 square inches.
Adding together the area of the square and the area of the semicircles, we get 4 square inches + 6.28 square inches = 10.28 square inches.
Therefore, the total area of the shape is 10.28 square inches. Rounded to the nearest hundredth, the answer is 10.28 square inches.