IXL | Area of compound figures with triangles, semicircles, and quarter circles

What is the area of this figure?

7 in

2 in

8 in

3 in

2 in

6 in

If necessary, round your answer to the nearest hundredth.

square inches

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Learn with an example

question

What is the area of this figure?

4 yd

8 yd

3 yd

5 yd

7 yd

8 yd

13 yd

If necessary, round your answer to the nearest hundredth.

square yards

solution

Divide the figure into separate shapes:

4 yd

8 yd

3 yd

5 yd

7 yd

8 yd

13 yd

Start with rectangle

Rectangle

is 7 yards wide and 5 yards tall.

Multiply:

The area of rectangle

is 35 square yards.

Look at rectangle

Rectangle

is 4 yards wide and 8 yards tall.

Multiply:

The area of rectangle

is 32 square yards.

Look at semicircle

Semicircle

has a diameter of 22 yards, which gives it a radius of 11 yards.

Solve for the area of semicircle

3.14

189.97

The area of semicircle

is 189.97 square yards.

Now add the areas of all the shapes.

189.97

256.97

The area is 256.97 square yards.

Looking for more? Try these:

Lesson: Area of compound shapes

Lesson: Area of circles

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Teacher tools

Work it out

Not feeling ready yet? These can help:

GG.11Area of compound figures

BB.8Area of semicircles and quarter circles

GG.6Area of triangles

Lesson: Area of compound shapes

Lesson: Area of circles

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