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

What is the area of this figure?

3 km

4 km

10 km

3 km

10 km

6 km

7 km

If necessary, round your answer to the nearest hundredth.

square kilometers

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Learn with an example

question

What is the area of this figure?

8 m

3 m

4 m

2 m

5 m

6 m

Write your answer using decimals, if necessary.

square meters

solution

Divide the figure into separate shapes:

8 m

3 m

4 m

2 m

5 m

6 m

Start with rectangle

Rectangle

is 8 meters wide and 6 meters tall.

Multiply:

The area of rectangle

is 48 square meters.

Look at rectangle

Rectangle

is 2 meters wide and 5 meters tall.

Multiply:

The area of rectangle

is 10 square meters.

Look at triangle

Triangle

is 4 meters wide and 6 meters tall.

Solve for the area of triangle

The area of triangle

is 12 square meters.

Now add the areas of all the shapes.

The area is 70 square meters.

Looking for more? Try these:

Lesson: Area of compound shapes

Lesson: Area of circles

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

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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