# Length and breadth of a rectangle are 8 cm and 6 cm respectively. The

| Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon?

A.

B.

C.

D.

### Right Answer is: A

#### SOLUTION

Let each side of regular octagon is .

Similarly

AB^{2} = PA^{2} + PB^{2}

Using formula

Hence the side of regular octagon = 2

Note: This question is conceptually wrong. You can not make a regular octagon by cutting a rectangle. You can make the sides equal like in this solution but the angles would not be equal then.

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Length and breadth of a rectangle are 8 cm and 6 cm respectively. The