42. The permutation formula is P(n, r) = n! / (n - r)!. Given n = 7 and r = 2, we have: 7! / (7 - 2)! = 7! / 5!. This simplifies to 7 * 6 (since 5! cancels out), resulting in 42.
The likely equation for the ellipse is given by

This can be parameterized as a segment of the curve using

with
. Then we can proceed with

and other related calculations.
Answer: New square side length = 19 feet.
Step-by-step explanation:
Given that
Floor area = 228 square feet
Increasing the floor area by 50%
Our new area becomes

Thus, the side length of the new square will be
