How to solve a related rates problem with an expanding square?

[carlodelmundo]

Homework Statement

When the area of an expanding square, in square units, is increasing three times as fast as its side is increasing, in linear units, the side is

a.) 2/3
b.) 3/2
c) 3
d) 2
e) 1

Homework Equations

A = s^2
dA/dt = 3s^2

The Attempt at a Solution

Can anyone give me hints on how to start this problem?

 

[Dick]

Start by differentiating A=s^2 with respect to time correctly. Use implicit differentiation.

 

[carlodelmundo]

Okay, Dick.

I get dA/dt = 2s dS/Dt. Since it's saying that the area is increasing three times as fast as its side is increasing... 2s must equal to 3. or s = 3/2

is this correct?

 

[Dick]

Okay, Dick.

I get dA/dt = 2s dS/Dt. Since it's saying that the area is increasing three times as fast as its side is increasing... 2s must equal to 3. or s = 3/2

is this correct?

You betcha.

 

[carlodelmundo]

Thank you, Sir.