document.write( "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?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #419996 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=number of gal needed to paint the wall \n" ); document.write( "Paintable surface equals wall area minus area of the four circular windows \n" ); document.write( "Wall Area=H*W=6*3=18ft*8*3=24ft=18*24=432 sq ft \n" ); document.write( "Area of 1 circular window =pi*r^2; r=d/2 so r^2=2.5^2/4=1.5625 sooo \n" ); document.write( "pi*r^2=3.14*1.5625=4.90625 \n" ); document.write( "Area of 4 circular windows=4*4.90625=19.625 sq feet \n" ); document.write( "Paintable surface=432-19.625=412.375 sq ft \n" ); document.write( "Now we can set up a simple ration: \n" ); document.write( "500/1=412.375/x cross multiply \n" ); document.write( "500x=412.375 \n" ); document.write( "x=0.82475 gal\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "0.82475*500sq ft/gal=412.375 \n" ); document.write( "412.375=412.375 \n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |