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PEAZIT Aha card

Rearrange a parallelogram without changing its area

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Cut off the end triangle and move it to the other side. You obtain a rectangle with the same base and height.

Base 7 cm, perpendicular height 4 cm.
RelationMeaning
S = a × hMultiply base by its perpendicular height.
S = 7 × 4Substitute the lengths.
S = 28 cm²Rearrangement preserves the 28 cm² area.

One worked example

  1. S = a × hMultiply base by its perpendicular height.
  2. S = 7 × 4Substitute the lengths.
  3. S = 28 cm²Rearrangement preserves the 28 cm² area.

Watch out: The height depends on the chosen base. Match them correctly.

Goal, prerequisites and card origin

What you will learn: Calculate area using perpendicular height.

What you need first: Rectangle area.

An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1

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Cut off the end triangle and move it to the other side. You obtain a rectangle with the same base and height.

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