Question

A rectangular field is L metre long and B metres wide. It's perimeter is 280 metres. If the length is two and half times it's breath, find the values of L and B

Answer 1

Let's assume that the width of the rectangular field is B meters.
According to the problem, the length is two and a half times its width, so the length is 2.5B meters.
The perimeter of a rectangle can be found by using the formula: perimeter = 2(length + width).
So, the perimeter of this field is 2(2.5B + B) = 2(3.5B) = 7B meters.
According to the problem, the perimeter is 280 meters, so 7B = 280.
Dividing both sides of the equation by 7, we get B = 280/7 = 40.
If the width is 40 meters, the length is 2.5B = 2.5 * 40 = 100 meters.
Therefore, the values of L and B are L = 100 meters and B = 40 meters.