In fig1 length is 42cn and breadth is 21 cm. From Fig1 a square of sid...
Perimeter of the Original Figure:
Given the length of the original figure as 42 cm and the breadth as 21 cm, we can calculate its perimeter using the formula:
Perimeter = 2 × (Length + Breadth)
Substituting the given values, we get:
Perimeter = 2 × (42 cm + 21 cm)
Perimeter = 2 × 63 cm
Perimeter = 126 cm
Therefore, the perimeter of the original figure is 126 cm.
Perimeter of the Figure after Cutting the Square:
A square of side 2 cm is cut from the original figure. To find the perimeter of the figure after cutting the square, we need to subtract the perimeter of the square from the perimeter of the original figure.
Perimeter of the Square:
The perimeter of a square is given by the formula:
Perimeter = 4 × Side
Substituting the given value of the side (2 cm), we get:
Perimeter of the Square = 4 × 2 cm
Perimeter of the Square = 8 cm
Perimeter of the Figure after Cutting the Square:
To find the perimeter of the figure after cutting the square, we subtract the perimeter of the square (8 cm) from the perimeter of the original figure (126 cm):
Perimeter of the Figure after Cutting the Square = Perimeter of the Original Figure - Perimeter of the Square
Perimeter of the Figure after Cutting the Square = 126 cm - 8 cm
Perimeter of the Figure after Cutting the Square = 118 cm
Therefore, the perimeter of the figure after cutting the square is 118 cm.
Comparison of Perimeters:
The original figure has a perimeter of 126 cm, whereas the figure after cutting the square has a perimeter of 118 cm.
By comparing the perimeters, we can observe that the perimeter of the figure after cutting the square is less than the perimeter of the original figure. This is because the side length of the square (2 cm) has been subtracted from the original figure, reducing its overall perimeter.
It is important to note that the perimeter of a figure represents the total length of its boundary. By cutting a square from the original figure, we are essentially removing a portion of its boundary, resulting in a smaller perimeter for the figure after the cut.
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