IXL | Area of compound figures with triangles

What is the area of this figure?

5 cm

2 cm

4 cm

2 cm

3 cm

4 cm

2 cm

3 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?

6 ft

4 ft

3 ft

13 ft

3 ft

9 ft

4 ft

Write your answer using decimals, if necessary.

square feet

solution

Divide the figure into separate shapes:

6 ft

4 ft

3 ft

13 ft

3 ft

9 ft

4 ft

Start with rectangle

Rectangle

is 4 feet wide and 6 feet tall.

Multiply:

The area of rectangle

is 24 square feet.

Look at rectangle

Rectangle

is 8 feet wide and 3 feet tall.

Multiply:

The area of rectangle

is 24 square feet.

Look at triangle

Triangle

is 11 feet wide and 13 feet tall.

Solve for the area of triangle

71.5

The area of triangle

is 71.5 square feet.

Now add the areas of all the shapes.

71.5

119.5

The area is 119.5 square feet.

Looking for more? Try these:

Lesson: Area of compound shapes

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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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