Deena is putting up decorations for Hanukkah. One of her decorations is a picture of a spinning top called a dreidel. Her cutout is shown. What is the area of this dreidel?
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To find the area of the dreidel cutout, we need to calculate the area of each individual shape and then add them together.
The dreidel is made up of a square and four identical right triangles. The length of each side of the square is 4 inches, so the area of the square is 4 inches multiplied by 4 inches, which is 16 square inches.
Next, we need to find the area of one of the right triangles. The base of each triangle is 2 inches (half of the square's side length) and the height is also 2 inches. The area of one triangle is 1/2 * base * height = 1/2 * 2 inches * 2 inches = 2 square inches.
Since there are four triangles, the total area of all four triangles is 4 * 2 square inches = 8 square inches.
Finally, we add the area of the square and the total area of the triangles together: 16 square inches (square) + 8 square inches (triangles) = 24 square inches.
Therefore, the area of the dreidel cutout is 24 square inches.