Rectangles-Same Perimeter & Different Area - Practice - Same Perimeter, Different Area

Sep 30, 2026

Uploaded by Oliver

Worksheet practice for solving rectangle problems that require maintaining the same perimeter while creating a different rectangle area. It presents multiple starting rectangles with given side lengths (such as 1×9, 1×6, 1×10, 6×7, and 1×8, plus additional variations) and asks students to form new rectangles sharing the original perimeter. An answer key provides the corresponding side-length pairs for each item so learners can verify solutions and deepen area understanding under constant-perimeter constraints.

LanguageEnglish

CategoryExam

FormatPDF

Pages30

Reading Time1 h 16 min

AccessFree to download

Solve Each Problem

Create Same-Perimeter Rectangles

Check Answers

Rectangles-Same Perimeter & Different Area Name: | Solve each problem.
1) The rectangle below has the dimensions 1×9 . Create a rectangle with the same perimeter, but a different area.

2) The rectangle below has the dimensions 1×6 . Create a rectangle with the same perimeter, but a different area.

3) The rectangle below has the dimensions 1×10 . Create a rectangle with the same perimeter, but a different area.

4) The rectangle below has the dimensions 6×7 . Create a rectangle with the same perimeter, but a different area.

5) The rectangle below has the dimensions 1×8 . Create a rectangle with the same perimeter, but a different area.
| Answers
1.
2.
3.
4.
5. | | | | | | --- | --- | --- | --- | --- | --- | | 1
1-5
80 | | 60 | 40 | 20 | 0 | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) Math Rectangles-Same Perimeter & Different Area Name: Answer Key | Solve each problem.
1) The rectangle below has the dimensions 1×9 . Create a rectangle with the same perimeter, but a different area.
3x7
2) The rectangle below has the dimensions 1×6 . Create a rectangle with the same perimeter, but a different area.
3x4
2x5
3) The rectangle below has the dimensions 1×10 . Create a rectangle with the same perimeter, but a different area.
5x6
2x9
4) The rectangle below has the dimensions 6×7 . Create a rectangle with the same perimeter, but a different area.
3x10
4x9
5) The rectangle below has the dimensions 1×8 . Create a rectangle with the same perimeter, but a different area.

4x5 2x7 | Answers
1. 3×7
2. 3×4 : 2×5
3. 5×6 : 2×9
4. 3×10 : 4×9
5. 4×5 : 2×7 | | | | | | --- | --- | --- | --- | --- | --- | | 1
1-5
80 | | 60 | 40 | 20 | 0 | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) Math Rectangles-Same Perimeter & Different Area Name: | Solve each problem.
1) The rectangle below has the dimensions 1×9 . Create a rectangle with the same perimeter, but a different area.

2) The rectangle below has the dimensions 1×6 . Create a rectangle with the same perimeter, but a different area.

3) The rectangle below has the dimensions 1×10 . Create a rectangle with the same perimeter, but a different area.

4) The rectangle below has the dimensions 6×7 . Create a rectangle with the same perimeter, but a different area.
| Answers
1.
2.
3.
4. | | | | | | --- | --- | --- | --- | --- | --- | | | 1-4 | 75 | 50 | 25 | 0 | Math Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 1 Rectangles-Same Perimeter & Different Area Name: | Solve each problem.
1) The rectangle below has the dimensions 1×9 . Create a rectangle with the same perimeter, but a different area.

2) The rectangle below has the dimensions 1×4 . Create a rectangle with the same perimeter, but a different area.

3) The rectangle below has the dimensions 4×9 . Create a rectangle with the same perimeter, but a different area.

4) The rectangle below has the dimensions 1×6 . Create a rectangle with the same perimeter, but a different area.

5) The rectangle below has the dimensions 2×9 . Create a rectangle with the same perimeter, but a different area.
| Answers
1.
2.
3.
4.
5. | | | | | | --- | --- | --- | --- | --- | --- | | 2
1-5
80 | | 60 | 40 | 20 | 0 | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) Math Rectangles-Same Perimeter & Different Area Name: Answer Key | Solve each problem.
1) The rectangle below has the dimensions 1×9 . Create a rectangle with the same perimeter, but a different area.
3x7
2) The rectangle below has the dimensions 1×4 . Create a rectangle with the same perimeter, but a different area.
2x3
3) The rectangle below has the dimensions 4×9 . Create a rectangle with the sa

FAQs

What does each problem ask you to do with the rectangle’s perimeter and area?

Each problem gives a rectangle’s dimensions and asks you to create a different rectangle with the same perimeter but a different area.

How are the new rectangles’ side lengths determined?

Use the perimeter of the given rectangle as a fixed value, then find a different pair of side lengths that produce the same perimeter.

Where can the correct answers be found?

The worksheet includes an answer key listing the valid side-length pairs for each problem number.

Sep 30, 2026

Uploaded by Oliver