Answer:
The perimeter of the rectangle is 30cm and the perimeter of the square is 20cm
Step-by-step 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
