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Area Model Multiplication - Worksheet 10 - 4th Grade

Hard

Split a rectangular array into place-value parts and combine its partial products.

hard: Use another set to practice explaining and checking your answers.

18 problems · 15-20 minutes · Skills: multiplication, visual models

About This Worksheet

This hard-level worksheet contains 18 problems designed for 4th Grade students practicing area model multiplication. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Read place values and recall basic addition, subtraction and multiplication facts.

  • Split a rectangular array into place-value parts and combine its partial products.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A rectangle is 47 units long and 4 units wide. Its length is split into 40 and 7 units. Use the two partial areas to find the total area.
Solution Steps:
  1. First area: 40 × 4 = 160.
  2. Second area: 7 × 4 = 28.
  3. Add the areas: 160 + 28 = 188.
Answer: 188 square units
Tip: Check your result using the method in the example before moving to the next question.
1
A rectangle is 32 units long and 7 units wide. Its length is split into 30 and 2 units. Use the two partial areas to find the total area.
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2
A rectangle is 11 units long and 2 units wide. Its length is split into 10 and 1 units. Use the two partial areas to find the total area.
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3
A rectangle is 68 units long and 6 units wide. Its length is split into 60 and 8 units. Use the two partial areas to find the total area.
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4
A rectangle is 24 units long and 6 units wide. Its length is split into 20 and 4 units. Use the two partial areas to find the total area.
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5
A rectangle is 44 units long and 4 units wide. Its length is split into 40 and 4 units. Use the two partial areas to find the total area.
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6
A rectangle is 23 units long and 5 units wide. Its length is split into 20 and 3 units. Use the two partial areas to find the total area.
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7
A rectangle is 45 units long and 5 units wide. Its length is split into 40 and 5 units. Use the two partial areas to find the total area.
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8
A rectangle is 21 units long and 9 units wide. Its length is split into 20 and 1 units. Use the two partial areas to find the total area.
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9
A rectangle is 27 units long and 9 units wide. Its length is split into 20 and 7 units. Use the two partial areas to find the total area.
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10
A rectangle is 35 units long and 4 units wide. Its length is split into 30 and 5 units. Use the two partial areas to find the total area.
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11
A rectangle is 26 units long and 2 units wide. Its length is split into 20 and 6 units. Use the two partial areas to find the total area.
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12
A rectangle is 49 units long and 8 units wide. Its length is split into 40 and 9 units. Use the two partial areas to find the total area.
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13
A rectangle is 24 units long and 9 units wide. Its length is split into 20 and 4 units. Use the two partial areas to find the total area.
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14
A rectangle is 15 units long and 9 units wide. Its length is split into 10 and 5 units. Use the two partial areas to find the total area.
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15
A rectangle is 24 units long and 2 units wide. Its length is split into 20 and 4 units. Use the two partial areas to find the total area.
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16
A rectangle is 21 units long and 8 units wide. Its length is split into 20 and 1 units. Use the two partial areas to find the total area.
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17
A rectangle is 31 units long and 2 units wide. Its length is split into 30 and 1 units. Use the two partial areas to find the total area.
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18
A rectangle is 74 units long and 4 units wide. Its length is split into 70 and 4 units. Use the two partial areas to find the total area.
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Answer Key

1. 224 square units2. 22 square units3. 408 square units4. 144 square units5. 176 square units6. 115 square units7. 225 square units8. 189 square units9. 243 square units10. 140 square units11. 52 square units12. 392 square units13. 216 square units14. 135 square units15. 48 square units16. 168 square units17. 62 square units18. 296 square units

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Frequently Asked Questions

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What skills does this multiplication worksheet cover?

This worksheet focuses on multiplication, visual models. It is designed for 4th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 15-20 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.