Walk through a Paper | Magic Trick | Understanding the Math behind it

Have you ever wondered if you can cut a 8” x 11” sheet of paper wide enough so that you can walk through it. Give it a try and see if you can figure it out. You might need to use some mathematical skills and outside the box thinking.

This is a very interesting activity to teach the concept of area and perimeter properties of a rectangle. We know that multiple rectangles can have the same area, yet their perimeter will be different. For example, a rectangle of 10 x 20 cm has an area of 200 cm and a perimeter of 60 cm. Similarly, a rectangle of 1 x 200 cm has the same area of 200 cm but a perimeter of 402 cm.

 Using the same concept, you have created a loop that is big enough for you to walk through. The area of the sheet of paper remained the same throughout the activity – the size of the paper was not changed at all because none of the cuts went all the way across the paper.
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