What is the rate of change of the perimeter of the square at the instant the area is 49 m2?
1 answer:
Let x = the length of a side of the square (m).
The area is
A = x²
The perimeter is
P = 4x
The rate of change of P with respect to x is
P'(x) = 4 (independent of x)
When A = 49 m², then x = 7 m.
The rate of P is 4.
Answer: 4
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