The formula of an area of a square:
a - side
We have:
substitute:
The fromula of a perimeter of a square is:
substitute:
Andrew wants to divide his rectangular garden into two parts diagonally. The garden has a length of 40 feet and width 30 feet.
1 answer:
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The Jacobian for this transformation is
with determinant , hence the area element becomes
Then the integral becomes
where is the unit circle,
so that
Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.
Then