Mathematics

Problem

The length

x

and width

y

of a rectangle are increasing at constant rates of

5\text{ cm/min}

and

2\text{ cm/min}

, respectively. When

x=12\text{ cm}

and

y=5\text{ cm}

, what is the rate at which the length of the rectangle’s diagonal is increasing? a)

\dfrac{50}{13}\text{ cm/min}

\sqrt{29}\text{ cm/min}

\dfrac{70}{13}\text{ cm/min}

\dfrac{85}{13}\text{ cm/min}