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Which shape could be made by decomposing the parallelogram into parts
along the dashed line and rearranging them?
A rectangle with a base measuring 7 inches and a height measuring 4
inches.
A rectangle with a base measuring 7 inches and a height measuring 5
inches.
A triangle with a base measuring 7 inches and height measuring 4
inches.
A triangle with a base measuring 7 inches and height measuring 5
inches.

Ask by Johnston Wyatt. in the United States
Jan 23,2025

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Se puede obtener un rectángulo con una base de 7 pulgadas y una altura de 4 pulgadas al descomponer el paralelogramo y reorganizar sus partes.

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Mind Expander

When you decompose a parallelogram along a dashed line and rearrange the parts, you’re essentially transforming it into a different shape that maintains the same area. Since the base of the parallelogram measures 7 inches, any resulting shape must also match this base measurement.
On this note, a rectangle with a base measuring 7 inches and a height of 4 inches makes perfect sense, as the area will align with the parallelogram’s. However, keep in mind that while both rectangles can fit the base measurement, matching the initial area is key in deciding between the options. The triangle with a base of 7 inches and a height of 4 inches can also be a valid result if calculated correctly, given that triangles can serve as halves of rectangles.

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