# geometry

posted by on .

sam must paint his bedroom ceiling. the diagram below represents his bedroom ceiling and includes a circular light fixture with a diameter of 2 feet. a gallon of paint covers 16 square feet and costs \$8.95. how much will sam have to spend on paint to cover the entire ceiling except for the light fixture? assume he cannot buy a fraction of a gallon of paint.

• geometry - ,

Don't you realize that we can't see the diagram and you haven't given the dimensions?

• geometry - ,

the length is 12 and the width is 9

• geometry - ,

12 by 9 = 108 square feet

Area of light fixture:

A = pi * r^2
A = 3.14 * 1^2
A = 3.14 sq. ft.

108 - 3.14 = 104.86 sq. ft.

104.86/16 = 6.55 gallons

7 * 8.95 = ?

• geometry - ,

where do you get 7 from?

• geometry - ,

wait ... is the 7 from 6.55?

so would the answer for 7 * 8.95 be
\$62.65 ???

• geometry - ,

Funny, the REA's testware has this same question, ceiling dimensions 12/9 which is
108 - the light fixture diameter 2 = area 3.14=104.86 sq ft, agreed. divided by 16 sq ft per gallon = rounded 7 gallons