If the person jogs at a rate of 12 km per hr for 30 min......he/she covers 12 km * 1/2 hr = 6 km
6 km = 6000m = total distance jogged
Since this represents 10 laps.....then 1 lap = 6000 / 10 = 600m = the perimeter of the field
Perimeter = 2 [ L + W ]
And L = 2W
So....substituting, we have that
600 = 2 [ 2W + W] divide both sides by 2
300 = [2W + W]
300 = 3W divide both sides by 3
100 = W and L = 2W = 2(100) = 200
Area = L* W = 200 * 100 = 20000 m^2