The area of a rectangular garden of length 40 m, is 1000 sqm. Find the breadth of thegarden and its perimeter. The garden is to be enclosed by 3 rounds of fencing, leaving anentrance of 4 m. Find the cost of fencing the garden at a rate of 250 rupees per metre.

Sure, let's solve this step by step.

Step 1: Find the breadth of the garden. We know that the area of a rectangle is given by the formula: Area = Length x Breadth. Here, the area is given as 1000 sqm and the length as 40 m. We can set up the equation: 1000 = 40 x Breadth. Solving for Breadth, we get Breadth = 1000 / 40 = 25 m.

Step 2: Find the perimeter of the garden. The perimeter of a rectangle is given by the formula: Perimeter = 2(Length + Breadth). Substituting the given length and the calculated breadth, we get Perimeter = 2(40 + 25) = 130 m.

Step 3: Calculate the total length of fencing required. The garden is to be enclosed by 3 rounds of fencing, leaving an entrance of 4 m. So, the total length of fencing required is 3 x Perimeter - Entrance = 3 x 130 - 4 = 386 m.

Step 4: Find the cost of fencing the garden. The cost of fencing the garden is given by the formula: Cost = Length of fencing x Rate per metre. Substituting the calculated length of fencing and the given rate, we get Cost = 386 x 250 = 96,500 rupees.

So, the breadth of the garden is 25 m, the perimeter is 130 m, and the cost of fencing the garden is 96,500 rupees.