The formula for the perimeter is 2 x (length + breadth). Substituting values: 14 = 2 x (length + 2). Simplifying gives length = 5 cm.
Class 6 Mathematics Chapter 6 Perimeter and Area question answer
Class 6 NCERT Ganita Prakash Chapter 6 Perimeter and Area
a. Perimeter of a rectangle = 14 cm; breadth = 2 cm; length = ?
Using the perimeter formula for a rectangle: 2 x (length + breadth) = perimeter. Substituting values: 14 = 2 x (length + 2). Dividing both sides by 2 gives length + 2 = 7. Subtracting 2 from 7 results in length = 5 cm. This method is a simple way to calculate the missing side length of a rectangle when the perimeter and one side are provided.
b. Perimeter of a square = 20 cm; side of the square = ?
The perimeter of a square is given by 4 x side. Substituting the value for the perimeter: 20 = 4 x side. Dividing both sides by 4 gives side = 5 cm. This formula helps determine the side length of a square when the perimeter is known. For example, this method is useful in design or construction tasks involving square layouts.
c. Perimeter of a rectangle = 12 m; length = 3 m; breadth = ?
The perimeter of a rectangle is calculated as 2 x (length + breadth). Substituting the known values: 12 = 2 x (3 + breadth). Dividing by 2 gives 6 = 3 + breadth. Subtracting 3 from 6 results in breadth = 3 m. This approach makes it easy to calculate the missing dimension of a rectangle when the perimeter and one side length are known.
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