36. 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 15-ft distance produces a 36 ft picture, what is the area of the picture when the projection unit is moved to a distance of 25 ft from the wall? b. If the projected image is 144 ft², how far is the projector from the wall?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 13E
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36. 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 15-ft distance produces a 36 ft picture, what is
the area of the picture when the projection unit is
moved to a distance of 25 ft from the wall?
b. If the projected image is 144 ft², how far is the
projector from the wall?
Transcribed Image Text:36. 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 15-ft distance produces a 36 ft picture, what is the area of the picture when the projection unit is moved to a distance of 25 ft from the wall? b. If the projected image is 144 ft², how far is the projector from the wall?
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