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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

To find the area of the given shape, we need to divide it into two parts: the rectangle and the triangle.

  1. Area of the Rectangle:

    • The rectangle has a width of 8 cm and a height of 4 cm.
    • Area of the rectangle = width × height = 8 cm × 4 cm = 32 cm².

  2. Area of the Triangle:

    • The triangle has a base equal to the bottom of the figure, which is 10 cm. The height of the triangle is also the height of the rectangle, which is 4 cm.
    • Area of the triangle = (1/2) × base × height = (1/2) × 10 cm × 4 cm = 20 cm².

  3. Total Area:

    • Now, we can add the areas of the rectangle and triangle to find the total area of the figure.
    • Total area = Area of the rectangle + Area of the triangle = 32 cm² + 20 cm² = 52 cm².

Therefore, the area of the figure is 52 cm².