A Boundary Stripe 2 In $\quad 113 \mathrm { ft } ^ { 2 }$

Multiple Choice

A boundary stripe 2 in.wide is painted around a rectangle whose dimensions are 100 ft by 240 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) $\quad 113.89 \mathrm { ft } ^ { 2 }$
E) $\quad 113.33 \mathrm { ft } ^ { 2 }$