IXL | Area of compound figures with triangles

What is the area of this figure?

3 mi

6 mi

8 mi

6 mi

13 mi

4 mi

11 mi

Write your answer using decimals, if necessary.

square miles

ref_doc_title.

Learn with an example

question

What is the area of this figure?

3 ft

12 ft

8 ft

2 ft

3 ft

Write your answer using decimals, if necessary.

square feet

solution

Divide the figure into separate shapes:

3 ft

12 ft

8 ft

2 ft

3 ft

Start with rectangle

Rectangle

is 3 feet wide and 2 feet tall.

Multiply:

The area of rectangle

is 6 square feet.

Look at rectangle

Rectangle

is 5 feet wide and 5 feet tall.

Multiply:

The area of rectangle

is 25 square feet.

Look at triangle

Triangle

is 7 feet wide and 5 feet tall.

Solve for the area of triangle

17.5

The area of triangle

is 17.5 square feet.

Now add the areas of all the shapes.

17.5

48.5

The area is 48.5 square feet.

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:

BB.11Area of compound figures made of rectangles

GG.6Area of triangles

Lesson: Area of compound shapes

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!