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A small square is cut from one corner of a rectangle, as shown. Which statement about the new shape is true?

Class 6Area of Combined ShapesMensuration
  • AArea stays; perimeter falls
  • BBoth area and perimeter rise
  • CArea falls; perimeter stays the same
  • DBoth area and perimeter fall

Step-by-Step Solution

The square's area is removed, so the area decreases. Two outer edges of the square are lost but two equal inner edges appear, so the perimeter is unchanged.
Answer: C) Area falls; perimeter stays the same

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