A Boundary Stripe 2 In $100 \mathrm { ft }$ By $240 \mathrm { ft }$

Multiple Choice

A boundary stripe 2 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.

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