SOLUTION: The outside wall of one endo of a house is rectacgular, 6yds high and 8 yards wide. The wall also has four circular windows, each one with a diameter of 2.5 feet. How many gallons

Question 675697: The outside wall of one endo of a house is rectacgular, 6yds high and 8 yards wide. The wall also has four circular windows, each one with a diameter of 2.5 feet. How many gallons of paint would it take to paint this wall if each gallon covers 500 square ft?

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=number of gal needed to paint the wall
Paintable surface equals wall area minus area of the four circular windows
Wall Area=H*W=6*3=18ft*8*3=24ft=18*24=432 sq ft
Area of 1 circular window =pi*r^2; r=d/2 so r^2=2.5^2/4=1.5625 sooo
pi*r^2=3.14*1.5625=4.90625
Area of 4 circular windows=4*4.90625=19.625 sq feet
Paintable surface=432-19.625=412.375 sq ft
Now we can set up a simple ration:
500/1=412.375/x cross multiply
500x=412.375
x=0.82475 gal
CK
0.82475*500sq ft/gal=412.375
412.375=412.375
Hope this helps---ptaylor
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