← Back to Area Model Multiplication

Area Model Multiplication - Worksheet 8 - 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 4 units wide. Its length is split into 30 and 1 units. Use the two partial areas to find the total area.
3014
Diagram not to scale.
2
A rectangle is 97 units long and 6 units wide. Its length is split into 90 and 7 units. Use the two partial areas to find the total area.
9076
Diagram not to scale.
3
A rectangle is 89 units long and 6 units wide. Its length is split into 80 and 9 units. Use the two partial areas to find the total area.
8096
Diagram not to scale.
4
A rectangle is 14 units long and 3 units wide. Its length is split into 10 and 4 units. Use the two partial areas to find the total area.
1043
Diagram not to scale.
5
A rectangle is 45 units long and 8 units wide. Its length is split into 40 and 5 units. Use the two partial areas to find the total area.
4058
Diagram not to scale.
6
A rectangle is 39 units long and 5 units wide. Its length is split into 30 and 9 units. Use the two partial areas to find the total area.
3095
Diagram not to scale.
7
A rectangle is 77 units long and 2 units wide. Its length is split into 70 and 7 units. Use the two partial areas to find the total area.
7072
Diagram not to scale.
8
A rectangle is 17 units long and 8 units wide. Its length is split into 10 and 7 units. Use the two partial areas to find the total area.
1078
Diagram not to scale.
9
A rectangle is 98 units long and 8 units wide. Its length is split into 90 and 8 units. Use the two partial areas to find the total area.
9088
Diagram not to scale.
10
A rectangle is 79 units long and 2 units wide. Its length is split into 70 and 9 units. Use the two partial areas to find the total area.
7092
Diagram not to scale.
11
A rectangle is 13 units long and 2 units wide. Its length is split into 10 and 3 units. Use the two partial areas to find the total area.
1032
Diagram not to scale.
12
A rectangle is 32 units long and 2 units wide. Its length is split into 30 and 2 units. Use the two partial areas to find the total area.
3022
Diagram not to scale.
13
A rectangle is 57 units long and 3 units wide. Its length is split into 50 and 7 units. Use the two partial areas to find the total area.
5073
Diagram not to scale.
14
A rectangle is 71 units long and 3 units wide. Its length is split into 70 and 1 units. Use the two partial areas to find the total area.
7013
Diagram not to scale.
15
A rectangle is 13 units long and 9 units wide. Its length is split into 10 and 3 units. Use the two partial areas to find the total area.
1039
Diagram not to scale.
16
A rectangle is 23 units long and 4 units wide. Its length is split into 20 and 3 units. Use the two partial areas to find the total area.
2034
Diagram not to scale.
17
A rectangle is 74 units long and 7 units wide. Its length is split into 70 and 4 units. Use the two partial areas to find the total area.
7047
Diagram not to scale.
18
A rectangle is 13 units long and 7 units wide. Its length is split into 10 and 3 units. Use the two partial areas to find the total area.
1037
Diagram not to scale.

Answer Key

1. 124 square units2. 582 square units3. 534 square units4. 42 square units5. 360 square units6. 195 square units7. 154 square units8. 136 square units9. 784 square units10. 158 square units11. 26 square units12. 64 square units13. 171 square units14. 213 square units15. 117 square units16. 92 square units17. 518 square units18. 91 square units

Practice next

Report a question or answer error

Frequently Asked Questions

How do I download this area model multiplication - worksheet 8 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.