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Question
Each rectangle is made out of 12 equal squares, so all have the same area, but the length of the boundary will be different.
Which of these rectangles has the longest perimeter?
Solution
- Perimeter of rectangle measuring 1 × 12 cm
= 2 (length + breadth)
= 2 (1 + 12)
= 2 x 13
= 26 cm - Perimeter of rectangle measuring 2 × 6 cm
= 2 (length + breadth)
= 2 (2 + 6)
= 2 × 8
= 16 cm - Perimeter of rectangle measuring 3 × 4 cm
= 2 (length + breadth)
= 2 (3 + 4)
= 2 × 7
= 14 cm
Hence, the rectangle measuring 1 × 12 cm has the longest perimeter.
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