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

question 104

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. \(24 \mathrm { ft }\)

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