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Answer:
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