Find the breadth of the rectangle whose length is 70 cm and perimeter 200 cm.

To find the breadth of a rectangle when you know its length and perimeter, you can use the formula for the perimeter of a rectangle. The perimeter (P) is given by the formula:

Understanding the Perimeter Formula

The perimeter of a rectangle is calculated as:

P = 2 × (Length + Breadth)

In this case, you have the length (L) as 70 cm and the perimeter (P) as 200 cm. We can rearrange the formula to solve for the breadth (B).

Step-by-Step Calculation

1. Start with the perimeter formula:

200 = 2 × (70 + B)

2. Divide both sides by 2 to simplify:

100 = 70 + B

3. Now, isolate B by subtracting 70 from both sides:

B = 100 - 70

4. This gives us:

B = 30

Final Result

The breadth of the rectangle is 30 cm. This means that if you have a rectangle with a length of 70 cm and a perimeter of 200 cm, its breadth will measure 30 cm. This relationship between length, breadth, and perimeter is fundamental in geometry and helps in various applications, from architecture to design.