IXL | Area of compound figures

What is the area of this figure?

4 mm

7 mm

6 mm

2 mm

10 mm

9 mm

square millimeters

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Learn with an example

question

What is the area of this figure?

9 cm

5 cm

3 cm

9 cm

12 cm

4 cm

square centimeters

solution

Divide the figure into rectangles:

9 cm

5 cm

3 cm

9 cm

12 cm

4 cm

Start with rectangle

Rectangle

is 4 centimeters wide and 9 centimeters tall.

Multiply:

The area of rectangle

is 36 square centimeters.

Look at rectangle

Rectangle

is 9 centimeters wide and 3 centimeters tall.

Multiply:

The area of rectangle

is 27 square centimeters.

Now add the areas of the two rectangles:

The area is 63 square centimeters.

Looking for more? Try these:

Lesson: Area of compound shapes

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Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
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Teacher tools

Work it out

Not feeling ready yet? These can help:

TT.1Area of squares and rectangles

G.11Add three numbers up to three digits each

Lesson: Area of compound shapes

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