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Find the surface area of the composite figure. Round the answer to the nearest tenth.

3 cm
4 cm
5 cm
11 cm
The surface area of the figure is
cm

1 Answer

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Final answer:

To find the surface area of the composite figure, calculate the area of each individual shape (rectangle and triangle) and then add them up.

Step-by-step explanation:

To find the surface area of a composite figure, we need to calculate the area of each individual shape and then add them up. Let's break down the figure into two parts: a rectangle and a triangle.

The rectangle:

The length of the rectangle is 4 cm and the width is 5 cm, so the area is 4 cm * 5 cm = 20 cm².

The triangle:

One of the triangle's sides is the same as the rectangle's width, which is 5 cm. The base of the triangle is 3 cm. So, the area of the triangle is (1/2) * base * height = (1/2) * 3 cm * 5 cm = 7.5 cm².

Now, we can find the total surface area by adding the areas of the rectangle and the triangle: 20 cm² + 7.5 cm² = 27.5 cm².

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