The ratio of length and breadth of a rectangle is 4:3. The area of a rectangle is equal to product of length and width of the rectangle.

Area of rectangle = length * breadth

Let the length of the rectangle is 4x and breadth of the rectangle is 3x. So the area is;

Area of rectangle = 4x * 3x

Area of rectangle = 12288 square meters

12288 square meters= 4x*3x

12288 square meters= 12 x2

X2 = 12288 square meters/12

x2 = 1024 square meters

Taking square root on both sides;

x = 32 meters

Length = 4x = 4*32 = 128 meters

Width = 3x = 3*32 = 96 meters

Area of rectangle = length * breadth

Let the length of the rectangle is 4x and breadth of the rectangle is 3x. So the area is;

Area of rectangle = 4x * 3x

Area of rectangle = 12288 square meters

12288 square meters= 4x*3x

12288 square meters= 12 x2

X2 = 12288 square meters/12

x2 = 1024 square meters

Taking square root on both sides;

x = 32 meters

Length = 4x = 4*32 = 128 meters

Width = 3x = 3*32 = 96 meters