A hypothetical square shrinks at a rate of 2 m²/min. At what rate are the diagonals of the square changing when the diagonals are 7 m each?
1 Answer
Nov 13, 2016
The diagonal is given by
Since the area of a square is given by
Differentiating:
We know that the area changes with respect to time at
So, the diagonals shrink at a rate of
Hopefully this helps!