IXL | Area of compound figures with triangles

What is the area of this figure?

3 ft

9 ft

3 ft

4 ft

8 ft

19 ft

Write your answer using decimals, if necessary.

square feet

ref_doc_title.

Learn with an example

question

What is the area of this figure?

5 ft

3 ft

2 ft

9 ft

8 ft

4 ft

6 ft

Write your answer using decimals, if necessary.

square feet

solution

Divide the figure into separate shapes:

5 ft

3 ft

2 ft

9 ft

8 ft

4 ft

6 ft

Start with rectangle

Rectangle

is 6 feet wide and 7 feet tall.

Multiply:

The area of rectangle

is 42 square feet.

Look at rectangle

Rectangle

is 3 feet wide and 2 feet tall.

Multiply:

The area of rectangle

is 6 square feet.

Look at triangle

Triangle

is 8 feet wide and 11 feet tall.

Solve for the area of triangle

The area of triangle

is 44 square feet.

Now add the areas of all the shapes.

The area is 92 square feet.

Looking for more? Try these:

Lesson: Area of compound shapes

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

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!