← Back to Area Model Multiplication

Area Model Multiplication - Worksheet 9 - 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 31 units long and 9 units wide. Its length is split into 30 and 1 units. Use the two partial areas to find the total area.
3019
Diagram not to scale.
2
A rectangle is 14 units long and 4 units wide. Its length is split into 10 and 4 units. Use the two partial areas to find the total area.
1044
Diagram not to scale.
3
A rectangle is 38 units long and 2 units wide. Its length is split into 30 and 8 units. Use the two partial areas to find the total area.
3082
Diagram not to scale.
4
A rectangle is 18 units long and 9 units wide. Its length is split into 10 and 8 units. Use the two partial areas to find the total area.
1089
Diagram not to scale.
5
A rectangle is 45 units long and 2 units wide. Its length is split into 40 and 5 units. Use the two partial areas to find the total area.
4052
Diagram not to scale.
6
A rectangle is 71 units long and 5 units wide. Its length is split into 70 and 1 units. Use the two partial areas to find the total area.
7015
Diagram not to scale.
7
A rectangle is 16 units long and 7 units wide. Its length is split into 10 and 6 units. Use the two partial areas to find the total area.
1067
Diagram not to scale.
8
A rectangle is 64 units long and 9 units wide. Its length is split into 60 and 4 units. Use the two partial areas to find the total area.
6049
Diagram not to scale.
9
A rectangle is 13 units long and 5 units wide. Its length is split into 10 and 3 units. Use the two partial areas to find the total area.
1035
Diagram not to scale.
10
A rectangle is 57 units long and 7 units wide. Its length is split into 50 and 7 units. Use the two partial areas to find the total area.
5077
Diagram not to scale.
11
A rectangle is 64 units long and 2 units wide. Its length is split into 60 and 4 units. Use the two partial areas to find the total area.
6042
Diagram not to scale.
12
A rectangle is 86 units long and 9 units wide. Its length is split into 80 and 6 units. Use the two partial areas to find the total area.
8069
Diagram not to scale.
13
A rectangle is 36 units long and 2 units wide. Its length is split into 30 and 6 units. Use the two partial areas to find the total area.
3062
Diagram not to scale.
14
A rectangle is 88 units long and 2 units wide. Its length is split into 80 and 8 units. Use the two partial areas to find the total area.
8082
Diagram not to scale.
15
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.
6086
Diagram not to scale.
16
A rectangle is 27 units long and 2 units wide. Its length is split into 20 and 7 units. Use the two partial areas to find the total area.
2072
Diagram not to scale.
17
A rectangle is 97 units long and 8 units wide. Its length is split into 90 and 7 units. Use the two partial areas to find the total area.
9078
Diagram not to scale.
18
A rectangle is 94 units long and 5 units wide. Its length is split into 90 and 4 units. Use the two partial areas to find the total area.
9045
Diagram not to scale.

Answer Key

1. 279 square units2. 56 square units3. 76 square units4. 162 square units5. 90 square units6. 355 square units7. 112 square units8. 576 square units9. 65 square units10. 399 square units11. 128 square units12. 774 square units13. 72 square units14. 176 square units15. 408 square units16. 54 square units17. 776 square units18. 470 square units

Practice next

Report a question or answer error

Frequently Asked Questions

How do I download this area model multiplication - worksheet 9 worksheet?

Click "Download PDF" for a file, or "Print" to use your browser. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

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.