Solve the Problem $12 - \mathrm { ft }$ Distance Produces A

Multiple Choice

Solve the problem.
-The area of a picture projected on a wall varies directly as the square of the distance from the projector to the wall.
a. If a $12 - \mathrm { ft }$ distance produces a $81 \mathrm { ft } ^ { 2 }$ picture, what is the area of the picture when the projection unit is moved to a distance of $16 \mathrm { ft }$ from the wall?
b. If the projected image is $324 \mathrm { ft } ^ { 2 }$ , how far is the projector from the wall?

A) a. $108 \mathrm { ft } ^ { 2 }$ ;
b. $48 \mathrm { ft }$
B) a. $196 \mathrm { ft } ^ { 2 }$ ;
b. $54 \mathrm { ft }$
C) a. $169 \mathrm { ft } ^ { 2 }$ ;
b. $36 \mathrm { ft }$
D) a. $144 \mathrm { ft } ^ { 2 }$ ;
b. $24 \mathrm { ft }$