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

x+y = 29, 5x + 2y = 100

step-by-step explanation:

i'm guessing it was a multiple first option was the correct answer

answer: a

step-by-step explanation: