IXL | Area of compound figures with triangles

What is the area of this figure?

4 cm

5 cm

3 cm

5 cm

15 cm

4 cm

8 cm

Write your answer using decimals, if necessary.

square centimeters

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Learn with an example

question

What is the area of this figure?

7 m

5 m

2 m

3 m

5 m

8 m

Write your answer using decimals, if necessary.

square meters

solution

Divide the figure into separate shapes:

7 m

5 m

2 m

3 m

5 m

8 m

Start with rectangle

Rectangle

is 3 meters wide and 9 meters tall.

Multiply:

The area of rectangle

is 27 square meters.

Look at rectangle

Rectangle

is 5 meters wide and 7 meters tall.

Multiply:

The area of rectangle

is 35 square meters.

Look at triangle

Triangle

is 3 meters wide and 7 meters tall.

Solve for the area of triangle

10.5

The area of triangle

is 10.5 square meters.

Now add the areas of all the shapes.

10.5

72.5

The area is 72.5 square meters.

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

GG.2Area of rectangles and squares

GG.6Area of triangles

Lesson: Area of compound shapes

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