IXL | Area of composite figures II

What is the area of this figure?

8 mi

9 mi

4 mi

16 mi

4 mi

10 mi

3 mi

7 mi

Write your answer using decimals, if necessary.

square miles

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Learn with an example

question

What is the area of this figure?

6 ft

21 ft

6 ft

19 ft

5 ft

6 ft

7 ft

13 ft

Write your answer using decimals, if necessary.

square feet

solution

Divide the figure into separate shapes:

6 ft

21 ft

6 ft

19 ft

5 ft

6 ft

7 ft

13 ft

Start with rectangle

Rectangle

is 13 feet wide and 7 feet tall.

Multiply:

The area of rectangle

is 91 square feet.

Look at rectangle

Rectangle

is 19 feet wide and 5 feet tall.

Multiply:

The area of rectangle

is 95 square feet.

Look at triangle

Triangle

is 21 feet wide and 12 feet tall.

Solve for the area of triangle

126

The area of triangle

is 126 square feet.

Now add the areas of all the shapes.

126

312

The area is 312 square feet.

Looking for more? Try these:

Lesson: Area of compound shapes

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

GG.6Area of triangles

GG.2Area of rectangles and squares

Lesson: Area of compound shapes

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