Word Problem involving conversion

Hello

I was given the following problem and have come up with what i believ to be the correct answer. I would appreciate it if someone could proof read my answer for accuracy.

1 yard = 0.9144 meters

1 mile = 1609 meters

if the area of a piece of land is 3.3 square-miles, then how much is it in square-yards?

In order to determine the are we must find the length of two sides of the area in question.

Therefore miles for one side of our area.

So we can multiply 1.82 miles by 1609 meters to convert statute miles to linear meters

linear meters

Now that we have the linear meters for one side of our square area we can Utilizing the formula for area to determine the are in square meters.

The result is 8575409.4 square meters

We can now convert square meters to square yards by dividing 8575409.4 square meters by 1.195985 square yards because 1.195985 square yards is equivalent to 1 square meter.

The final result is 7170164.6 square yards

So there is 7170164.6 square yards in 3.3 square miles