SOLUTION: The areao of a picture projected on a wall varies directly as the sqaure of the disance from the projector to the wall.If a 10ft distance produces a 16ft squared picture, what is t

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Question 326598: The areao of a picture projected on a wall varies directly as the sqaure of the disance from the projector to the wall.If a 10ft distance produces a 16ft squared picture, what is the area of a picture produced when the projection unit is moved to a distance 20ft from the wall?
Answer by alanc(27) About Me  (Show Source):
You can put this solution on YOUR website!
We are given the relation: Area of pic = constant * d^2, where d is distance from projector to wall.
For d = 10, we have A = 16 ft sqrd
Now given d = 20 what is A?
constant = 16/10*10
new A = [16/100] * 20*20 = 16 * 4 = 64 ft sqrd.
Answer the new picture is 64 ft squared.