The length of a rectangle is 5 m more than its breadth. If its perimeter is 50…

The perimeter of a rectangle equals twice the sum of its length and breadth: Perimeter = 2 x (Length + Breadth). When the length and breadth differ by a known amount, expressing both in terms of one variable turns the perimeter condition into a single linear equation.

1. Let the breadth of the rectangle be b metres. Since the length is 5 m more than the breadth, the length = (b + 5) metres.

2. Using the perimeter formula: Perimeter = 2 x (Length + Breadth) = 2 x ((b + 5) + b) = 2 x (2b + 5).

3. The perimeter is given as 50 m, so 2 x (2b + 5) = 50, which gives 2b + 5 = 25.

4. Solving the linear equation: 2b = 25 - 5 = 20, so b = 10 m.

5. Therefore, length = b + 5 = 10 + 5 = 15 m.

Check: with length = 15 m and breadth = 10 m, the perimeter = 2 x (15 + 10) = 2 x 25 = 50 m, which matches the given perimeter, confirming the length is 15 m.