A rectangle is split into two triangles as shown. Will the sum of the perimeter of the two triangles be equal to the perimeter of the rectangle? Explain your answer.

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Solution

Original perimeter of the rectangle = 2 x Length + 2 x BreadthSum of perimeters of the two triangles = Length + Breadth + Side + Length + Breadth + Side
= 2 x Length + 2 x Breadth + 2 x Side
So, we can say that the sum of the perimeter of the two triangles is greater than the perimeter of the rectangle.

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