Question

I have a piece of paper sized 10 cm bye 10 cm by 10 cm by 10 cm. I fold it in half to make a rectangle. I fold it in half again to make a much smaller square. What is the perimeter of the rectangle? What is the perimeter of the smaller square?

Answer 1

The perimeter of the rectangle is 30cm and the perimeter of the square is 20cm

Explanation:

Given

Dimension of Paper = 10 cm by 10 cm

Required

Find the perimeter of the shapes formed when the paper is folded

The dimension of the paper shows that it is a square;

At the initial stage when it's folded in half to form a rectangle;

This implies that only one side of the paper is folded and the new dimension becomes 10cm/2 by 10cm

New Dimension = 10cm/2 by 10cm

New Dimension = 5cm by 10cm

The perimeter of this is calculated as follows;

Perimeter = 2(L + B) where L and B are the dimensions of the rectangle

Perimeter = 2(5cm + 10cm)

Perimeter = 2(15cm)

Perimeter = 2 * 15cm

Perimeter = 30cm

When the paper is further folded in half to form a square;

This implies that the other side that wasn't folded initially, is now folded;

The new dimension becomes 5cm by 10cm/2

New Dimension = 5cm by 10cm/2

New Dimension = 5cm by 5cm

The perimeter of this is calculated as follows;

Perimeter = 2(L + L) where L is dimensions of the square

Perimeter = 2(5cm + %cm)

Perimeter = 2(10cm)

Perimeter = 2 * 10cm

Perimeter = 20cm

Hence, the perimeter of the rectangle is 30cm and the perimeter of the square is 20cm