Rearranging a Parallelogram into a Rectangle - worksheet answer key - solve areas

Sep 30, 2026

Uploaded by Miles

Worksheets and an answer key focused on the geometry transformation of a parallelogram into a rectangle using a dashed cut that produces a sliding triangle. The materials require determining the rectangle’s side lengths (e.g., in, cm, m, ft) and computing area with the matching square units. Multiple numbered problems are provided, followed by a compiled answer list showing each rectangle’s dimensions and computed areas for verification.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Rearranging a Parallelogram into a Rectangle

Problem Set (1-8)

Answer Key

Rearranging a Parallelogram into a Rectangle Name: | The dashed cut makes a triangle that slides to the other end. | | | | | | by
by
by
by | 1.
2.
3.
4.
5.
6.
7.
8. | Answers | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 1) | |

15 in 12 in
| 2) | |
6 m The rectangle it makes is Area: | | | | | | | | | | | | | | | | | | | | | | | | | 10 in
The rectangle it makes is by Area: | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 3)
5)
7) |
15 cm
12 cm
19 cm
The rectangle it makes is by
Area:

8 cm
The rectangle it makes is by Area:

5 ft 4 ft

7 ft
The rectangle it makes is by Area: | | | 4)
6)
8) |

15 m 9 m

15 m The rectangle it makes is Area:

17 in The rectangle it makes is Area:

20 m 12 m

19 m The rectangle it makes is Area: | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | 1-8 88 75 63 50 38 25 13 0 [Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1) Rearranging a Parallelogram into a Rectangle Name: Answer Key | The dashed cut makes a triangle that slides to the other end.
1)
3)
2)
6 m
The rectangle it makes is 6 m by 3 m Area: 18 m²
10 in
The rectangle it makes is 10 in by 12 in Area: 120 in²

19 cm
The rectangle it makes is 19 cm by 12 cm
Area: 228 cm²
4)
15 m
The rectangle it makes is 15 m by 9 m Area: 135 m²
5) 6)

15 in 12 in

15 m 9 m

| | | | Answers 1. 120 in² 2. 18 m² 3. 228 cm² 4. 135 m² 5. 64 cm² 6. 272 in² 7. 28 ft²
8. 228 m² | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 8 cm
The rectangle it makes is 8 cm by 8 cm Area: 64 cm² | 17 in
The rectangle it makes is 17 in by 16 in Area: 272 in²

20 m 12 m

19 m
The rectangle it makes is 19 m by 12 m Area: 228 m² | | | | | | | | | | | 7)

5 ft

8) | | | | | | | | | | | | The rectangle it makes is 7 ft by 4 ft Area: 28 ft² | | | | | | | | | | | | 1-8 | | 88 | 75 | | 63 | 50 | 38 | 25 | 13 | 0 | [Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1) Rearranging a Parallelogram into a Rectangle Name: | The dashed cut makes a triangle that slides to the other end. | | | 1.
2.
3. | Answers | | --- | --- | --- | --- | --- | | 1) |

15 in 12 in

10 in | | | | | | | | | | | | | | | | | | | | | | | 2) | The rectangle it makes is Area:

6 m The rectangle it makes is Area: | by
by | 4.
5.
6. | | | | | | | | | | | | | | | | | | | | | 3) |
19 cm The rectangle it makes is Area: | by | | | | 4) |

15 m 9 m

15 m The rectangle it makes is Area: | by | | | | 5) |
8 cm The rectangle it makes is Area: | by | | | | 6) | | | | | Math Modified [www.CommonCoreSheets.com](www.CommonCoreSheets.com) 1 1-6 83 67 50 33 17 0

FAQs

How does the dashed cut rearrange a parallelogram into a rectangle?

The dashed cut creates a triangle that slides to the opposite end, forming a rectangle with the same total area as the original parallelogram.

What do you calculate for each numbered problem?

You find the resulting rectangle’s dimensions (length and width) and compute its area in the given square units.

Where can the correct answers be checked?

The document includes an “Answer Key” section that lists the area and, in many cases, the rectangle dimensions for problems 1 through 8.

Sep 30, 2026

Uploaded by Miles