Find 23 × 4.
- Split 23 into 20 + 3.
- 20 × 4 = 80 and 3 × 4 = 12; add.
Answer: 92
Multiplication with an Area Model Worksheets
Split a rectangular array into place-value parts and combine its partial products.
Learn the skill
Multiplication using an area model
An area model splits each factor into place-value parts. Each smaller rectangle represents a partial product. Adding all the partial products gives the product of the original factors.
A method you can use
- Break each factor into tens and ones.
- Multiply every part of the first factor by every part of the second.
- Add all partial products and compare with an estimate.
Worked examples
Find 32 × 15.
- Use (30 + 2)(10 + 5).
- Partial products are 300, 150, 20, and 10.
- Add 300 + 150 + 20 + 10.
Answer: 480
Find 47 × 20.
- Use (40 + 7) × 20.
- 800 + 140 = 940.
Answer: 940
Try it yourself
Solve these before opening the answers. The printable sets below give you more practice.
1. Find 24 × 3 with partial products.
Show answer and explanation
72
20 × 3 + 4 × 3 = 60 + 12.
2. Find 21 × 12.
Show answer and explanation
252
200 + 40 + 10 + 2 = 252.
Before you begin
Read place values and recall basic addition, subtraction and multiplication facts.
Choose your level
These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.
- Easy: Start with the preview and follow the worked example.
- Medium: Practice the same exercise types with a fresh numbered set.
- Hard: Use another set to practice explaining and checking your answers.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
A rectangle is 34 units long and 6 units wide. Its length is split into 30 and 4 units. Use the two partial areas to find the total area.
2
A rectangle is 71 units long and 4 units wide. Its length is split into 70 and 1 units. Use the two partial areas to find the total area.
3
A rectangle is 76 units long and 2 units wide. Its length is split into 70 and 6 units. Use the two partial areas to find the total area.
4
A rectangle is 63 units long and 5 units wide. Its length is split into 60 and 3 units. Use the two partial areas to find the total area.
5
A rectangle is 68 units long and 3 units wide. Its length is split into 60 and 8 units. Use the two partial areas to find the total area.
6
A rectangle is 98 units long and 4 units wide. Its length is split into 90 and 8 units. Use the two partial areas to find the total area.
Answer Key
1. 204 square units2. 284 square units3. 152 square units4. 315 square units5. 204 square units6. 392 square units