Use the image to answer the question.
An illustration shows rectangle extending to a triangle on the right. The top of the rectangle extends as the hypotenuse toward the bottom. The dimensions of the figure are as follows: the top is 8 centimeters, the left is 4 centimeters, and the bottom is 10 centimeters, including the side of the extended triangle.
What is the area of the figure in square centimeters?(1 point)
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To find the area of the figure, we need to calculate the area of the rectangle and the triangle separately and then add them together.
Area of the rectangle = base x height
Area of the rectangle = 4 cm x 8 cm = 32 cm^2
Next, we need to find the area of the triangle. The formula for the area of a triangle is 1/2 x base x height.
Base of the triangle = 10 cm - 4 cm = 6 cm
Height of the triangle = 8 cm
Area of the triangle = 1/2 x 6 cm x 8 cm = 24 cm^2
Total area of the figure = Area of rectangle + Area of triangle
Total area = 32 cm^2 + 24 cm^2
Total area = 56 cm^2
Therefore, the area of the figure is 56 square centimeters.