Question

Grass grows densely everywhere on a 0.250 acre plot of land. What is the approximate number of blades of grass on this plot of land? Suppose each blade occupies 1/10 in² of area. (1 acre = 43 560 ft².)

Answer 1

As the problem indicates, we consider the grass grows densely everywhere, it means that the density is uniform. We need to find out what is the number of blades of grass that occupy this area. The total area A is going to be a multiple scalar of the area of a blade:

So to find out the amount of blades we have, then :

but we know the total Area and the blade area:

So we need to convert into the right units, we have:

Then:

So dividing this quantities:

We have that n is equal to:

Then there are 1306800 blades that fullfill the plot of land.