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
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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?
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
