Ahypothetical square grows so that the length of it's diagonals are increasing at a rate of 8 m/min. how fast is the area of the square increasing when the diagonals are 4m each?

32

Step-by-step explanation:

We let the length of the square be l, the diagonal be z and the area be A.

Then by Pythagoras theorem;

The are of a square of length l is given as;

Combining these two equations yields;

Next, we have been given;

We are required to find;

when z = 4

By chain rule;

Differentiating with respect to z yields;

Therefore,

= 8z

When z is 4m the area of the square will be increasing at a rate of;

8m/min * 4m = 32

in if you ask questions, the points are taken from your total and given to the one who answered it..

so if i have 30 points and i ask a question for 5 points, then when someone asks a question i will lose 5 points and the answerer earns 5

happy to