The Dimensions of a Door Are $4 \mathrm { ft }$

Multiple Choice

The dimensions of a door are $4 \mathrm { ft }$ by $7 \mathrm { ft } 6 \text { in }$ . If the same amount is added to each dimension of the door, the area is increased by $19.5 \mathrm { ft } ^ { 2 }$ Find the dimensions of the new door.

A) $5.5 \mathrm { ft } \times 9 \mathrm { ft }$
B) $4.5 \mathrm { ft } \times 8 \mathrm { ft }$
C) $6.5 \mathrm { ft } \times 10 \mathrm { ft }$
D) $5.5 \mathrm { ft } \times 8.5 \mathrm { ft }$
E) $4.5 \mathrm { ft } \times 8.5 \mathrm { ft }$