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.
Area of Composite Figures Practice
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Question
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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