In the given figure, there are six different rectangles as shown. If all the small squares in the figure have a side of 1 unit, which rectangle has the longest perimeter?

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Solution

Here we see that the rectangles 1 and 2 looks same.
So perimeter of rectangle 1 and 2 are equal.

Similarly rectangles 3, 4, 5 and 6 are same.
Sp perimeter of rectangles 3, 4, 5 and 6 are equal.

Perimeter of rectangle 1 = 12 + 1 + 12 + 1 = 26 units.
Perimeter of rectangle 3 = 3 + 4 + 3 + 4 = 14 units.

So, we can see that rectangles 1 and 2 have longest perimeter of 26 units.

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