Frage 71

A sheet of card 14 centimetres across and 9 centimetres tall has a piece 5 centimetres across and 4 centimetres tall missing from its top right corner. A learner wants to split the remaining L-shape into two rectangles rather than subtract the missing piece. Select all the statements that are true about this splitting method.

The right-hand piece is 5 centimetres across and 9 centimetres tall, since the sheet is 9 centimetres tall.
A vertical cut 9 centimetres from the left edge leaves a 9 by 9 rectangle and a 5 by 5 rectangle.Richtige Antwort
Splitting a shape into rectangles gives a different total from subtracting, so only one of the two methods can be trusted.
Adding 81 and 25 gives the same total as taking the missing corner away from the whole sheet.Richtige Antwort

Erklärung

The missing corner is 5 centimetres wide, so it begins 9 centimetres from the left edge, and a cut made there separates a full-height square of side 9 from a shorter block whose height is 9 minus 4. Keeping that right-hand block a full 9 centimetres tall forgets that the corner was removed from exactly that block, and it quietly rebuilds the uncut sheet.

Erklärung

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