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)
To find the area of the figure, we need to calculate the area of the rectangle and the area of the triangle, and then add them together.
Area of rectangle = length x width = 8 cm x 4 cm = 32 cm²
Area of triangle = 1/2 x base x height = 1/2 x 4 cm x 6 cm (since the height of the triangle is the right side of the rectangle) = 12 cm²
Total area = area of rectangle + area of triangle
Total area = 32 cm² + 12 cm² = 44 cm²
Therefore, the area of the figure is 44 square centimeters.