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document.write( "A picture measuring 40cm by 60cm is surrounded by a frame of uniform width. If the area of the frame equals the area of the picture,then what is the width of the frame ?
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document.write( "Please help me :) \n" );
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Algebra.Com's Answer #86910 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 40*60=2400 CM^2 FOR THE AREA OF THE PICTURE. \n" ); document.write( "2400+2400=4800 IS THE AREA OF THE PICTURE & THE FRAME. \n" ); document.write( "(40+2X)(60+2X)=4800 \n" ); document.write( "2400+120X+80X+4X^2=4800 \n" ); document.write( "4X^2+200X+2400-4800=0 \n" ); document.write( "(4X^2+200X-2400)=0 \n" ); document.write( "4(X^2+50X-600)=0 \n" ); document.write( "4(X+60)(X-10)=0 \n" ); document.write( "X-10=0 \n" ); document.write( "X=10 CM IS THE WIDTH OF THE FRAME. \n" ); document.write( "PROOF \n" ); document.write( "(40+20)(60+20)=4800 \n" ); document.write( "60*80=4800 \n" ); document.write( "4800=4800\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |