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Get Ready: Area of Composite Figures

A composite figure is just simpler shapes stuck together. You find each piece's area and add them up. So the feeder skills are rectangle and triangle area plus adding areas. Warm those up and any L-shape or house-shape becomes a few easy pieces.

Readiness Pre-Lesson Unit 5 ยท Lesson 5 Builds toward 6.G.1
Readiness progress: 0%
Why this matters for Lesson 5-5: A composite figure is just simpler shapes stuck together. You find each piece's area and add them up. So the feeder skills are rectangle and triangle area plus adding areas. Warm those up and any L-shape or house-shape becomes a few easy pieces.
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Quick Check ยท 1 minute

Where should you start?

Answer these 3, then press Show my path. No grade โ€” this just points you to the right level.

1. A rectangle is 4 by 3. What is its area?

2. What is 15 + 9?

3. A triangle has base 4 and height 3. Its area is base ร— height รท 2 = ?

๐Ÿงฑ Start at Level 0. We'll build this from the ground up with small steps. That's totally fine โ€” take your time below.
๐Ÿ› ๏ธ Start at Level 1. You've got the idea โ€” a little guided practice and you'll be ready.
๐Ÿš€ Start at Level 2. Your basics are strong! Do the quick warm-up and head into the lesson.
โš ๏ธ Answer all 3 questions first, then press Show my path.
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Learn It

Break it apart, then add

A composite figure is made of simple shapes (rectangles and triangles) joined together. The trick: break it into pieces, find each piece's area, then add the areas together.

L-shape: split into two rectangles, say 12 and 8. Total area = 12 + 8 = 20 square units.
House shape: a rectangle (area 20) plus a triangle roof (area 6). Total = 20 + 6 = 26 square units.
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Practice ยท Your Level

Try It

Your quick check picks one for you, but you can switch any time:

Level 0 Find each piece, then add.

A. Rectangle one is 3 by 4. Area = 3 ร— 4 = ___?

Hint

3 ร— 4 = 12 square units.

B. Rectangle two is 2 by 4. Area = 2 ร— 4 = ___?

Hint

2 ร— 4 = 8 square units.

C. Add the two pieces: 12 + 8 = ___?

Hint

12 + 8 = 20 square units.

Level 1 Add a rectangle and a triangle.

A. A rectangle is 5 by 4. Area = ___?

Hint

5 ร— 4 = 20 square units.

B. A triangle has base 4 and height 3. Area = base ร— height รท 2 = ___?

Hint

4 ร— 3 = 12, half of 12 = 6 square units.

C. Add both pieces: 20 + 6 = ___?

Hint

20 + 6 = 26 square units.

Level 2 Stretch: three pieces added together.

A. Rectangle 6 by 5, plus rectangle 2 by 5. Find both, then add: ___?

Hint

6 ร— 5 = 30 and 2 ร— 5 = 10; 30 + 10 = 40 square units.

B. A figure has a rectangle of area 24 and a triangle of area 9. Total area = ___?

Hint

24 + 9 = 33 square units.

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Exit Ticket

Show You're Ready

1. Two pieces have areas 18 and 7. What is the total area?

Hint

18 + 7 = 25 square units.

2. A rectangle of area 30 and a triangle of area 5 are joined. Total area = ___?

Hint

30 + 5 = 35 square units.

๐ŸŽ‰ You're warmed up!

You've practiced exactly what Lesson 5-5 uses. Time to dive in.

Start Lesson 5-5 โ†’