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.
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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