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)
cm2

1 answer

The area of the figure can be calculated by finding the area of the rectangle and the area of the triangle, then adding them together.

Area of rectangle = length x width = 4 cm x 8 cm = 32 cm^2
Area of triangle = (1/2) x base x height = (1/2) x 6 cm x 4 cm = 12 cm^2

Total area = 32 cm^2 (rectangle) + 12 cm^2 (triangle) = 44 cm^2

Therefore, the area of the figure is 44 square centimeters.