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Question
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
cm 2 squared
The figure can be divided into two parts: a rectangle and a right triangle.
Area of rectangle = length x width
Area of rectangle = 10 cm x 4 cm
Area of rectangle = 40 cm²
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 6 cm x 4 cm
Area of triangle = 12 cm²
Total area of figure = area of rectangle + area of triangle
Total area = 40 cm² + 12 cm²
Total area = 52 cm²
Therefore, the area of the figure is 52 square centimeters.