A Boundary Stripe $2 \mathrm { in }$ Wide Is Painted Around a Rectangle Whose Dimensions Are

Multiple Choice

A boundary stripe $2 \mathrm { in }$ . wide is painted around a rectangle whose dimensions are $100 \mathrm { ft }$ by $240 \mathrm { ft }$ . Use differentials to approximate the number of square feet of paint in the stripe.
Select the correct answer.

A) $\quad 113 \mathrm { ft } ^ { 2 }$
B) $113.81 \mathrm { ft } ^ { 2 }$
C) $\quad 113.22 \mathrm { ft } ^ { 2 }$
D) $\quad 113.89 \mathrm { ft } ^ { 2 }$
E) $\quad 113.33 \mathrm { ft } ^ { 2 }$