Answer:
area is 0.245 m²
Explanation:
The equation for pressure is
P = F / A
Where P is the pressure, F the force and A the area where the force is applied.
With the data we can calculate the pressure applied by the feet on the human on the floor
P1 = W / A = mg / A
P1 = 75 9.8 / 0.05
P1 = 14700 Pa
Now they tell us that the maxi maque pressure supports the snow is 3 kPa = 3000 Pa, the way to decrease the pressure is to increase the area on which force is applied.
P2 = F / A2
In this case we will calculate the minimum area, so we use the maximum pressure that supports the snow (P2 = 3000 Pa) and the force remains the weight of man
A2 = F / P2
A2= mg / P2
A2 = 75 9.8 / 3000
A2 = 0.245 m²