The area of a square field is 5184 m2. A rectangular field, whose length is twice itsbreadth, has its perimeter equal to the perimeter of the square field. Find the area ofthe rectangular field

Sure, let's solve this step by step:

Step 1: Find the side of the square field. The area of a square is given by the formula side^2. So, to find the side of the square, we take the square root of the area. √5184 = 72 m. So, each side of the square field is 72 m.

Step 2: Calculate the perimeter of the square field. The perimeter of a square is given by the formula 4side. So, the perimeter of the square field is 472 = 288 m.

Step 3: Set up the equation for the rectangular field. We know that the perimeter of the rectangle is equal to the perimeter of the square. The formula for the perimeter of a rectangle is 2*(length + breadth). We also know that the length is twice the breadth. So, we can set up the equation as follows: 2*(2breadth + breadth) = 288 5breadth = 288 breadth = 288/5 = 57.6 m

Step 4: Find the length of the rectangular field. Since the length is twice the breadth, the length is 2*57.6 = 115.2 m.

Step 5: Calculate the area of the rectangular field. The area of a rectangle is given by the formula lengthbreadth. So, the area of the rectangular field is 115.257.6 = 6635.52 m^2.

So, the area of the rectangular field is 6635.52 m^2.