Area of Composite Figures Practice
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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
To find the area of the figure, we need to find the area of the rectangle and the area of the triangle, and then add them together.
Area of rectangle = length x width
Area of rectangle = 8 cm x 4 cm = 32 cm2
Area of triangle = 0.5 x base x height
Area of triangle = 0.5 x 4 cm x 6 cm = 12 cm2
Total area of figure = area of rectangle + area of triangle
Total area of figure = 32 cm2 + 12 cm2 = 44 cm2
Therefore, the area of the figure is 44 square centimeters.