IXL | Area of composite figures

What is the area of this figure?

6 mm

9 mm

8 mm

14 mm

7 mm

10 mm

If necessary, round your answer to the nearest hundredth.

square millimeters

ref_doc_title.

Learn with an example

question

What is the area of this figure?

3 mm

5 mm

6 mm

10 mm

5 mm

7 mm

12 mm

If necessary, round your answer to the nearest hundredth.

square millimeters

solution

Divide the figure into separate shapes:

3 mm

5 mm

6 mm

10 mm

5 mm

7 mm

12 mm

Start with rectangle

Rectangle

is 3 millimeters wide and 12 millimeters tall.

Multiply:

The area of rectangle

is 36 square millimeters.

Look at rectangle

Rectangle

is 10 millimeters wide and 5 millimeters tall.

Multiply:

The area of rectangle

is 50 square millimeters.

Look at semicircle

Semicircle

has a diameter of 18 millimeters, which gives it a radius of 9 millimeters.

Solve for the area of semicircle

3.14

127.17

The area of semicircle

is 127.17 square millimeters.

Now add the areas of all the shapes.

127.17

213.17

The area is 213.17 square millimeters.

Looking for more? Try these:

Lesson: Area of compound shapes

$Confetti$

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.6Area of circles

GG.6Area of triangles

Lesson: Area of compound shapes

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!