A rectangle has a perimeter of 50 meters. If its length is 13 metres more than its breadth, then its area is

To find the area of the rectangle, we first determine its dimensions using the given perimeter and the relationship between length and breadth. Let the breadth be x meters. Since the length is 13 meters more than the breadth, the length is x plus 13 meters. The formula for the perimeter of a rectangle is 2 times the sum of length and breadth. So, 2 times (x plus x plus 13) equals 50. This simplifies to 2 times (2x plus 13) equals 50. Dividing both sides by 2 gives 2x plus 13 equals 25. Subtracting 13 from 25 gives 2x equals 12. Dividing by 2 gives x equals 6. Therefore, the breadth is 6 meters and the length is 6 plus 13, which is 19 meters. The area of a rectangle is length times breadth. Area equals 19 times 6, which is 114 square meters.