document.write( "Question 1155622: A magazine prints square photographs in two sizes. The larger photographs have sides 2 cm longer than the smaller photographs. The combined area of 3 of the smaller photographs is 12cm^2 more than the area of one larger photograph. Find the dimensions of the smaller photograph. \n" ); document.write( "
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A magazine prints square photographs in two sizes. The larger photographs have sides 2 cm longer than the smaller photographs. The combined area of 3 of the smaller photographs is 12cm^2 more than the area of one larger photograph. Find the dimensions of the smaller photograph.\r
\n" ); document.write( "\n" ); document.write( "side of small photograph = x
\n" ); document.write( "Area of small photograph.= x^2
\n" ); document.write( "Area of 3 small photograps.= 3x^2\r
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\n" ); document.write( "\n" ); document.write( "side of large photograph = x+2
\n" ); document.write( "Area of small photograph.= (x+2)^2\r
\n" ); document.write( "\n" ); document.write( "3x^2 = (x+2)^2+12\r
\n" ); document.write( "\n" ); document.write( "3x^2=x^2+4x+4 +12\r
\n" ); document.write( "\n" ); document.write( "Simplify\r
\n" ); document.write( "\n" ); document.write( "2x^2-4x-16=0\r
\n" ); document.write( "\n" ); document.write( "/2\r
\n" ); document.write( "\n" ); document.write( "x^2-2x-8=0\r
\n" ); document.write( "\n" ); document.write( "(x-4)(x+2)=0\r
\n" ); document.write( "\n" ); document.write( "x=4 or -2\r
\n" ); document.write( "\n" ); document.write( "x=4,
\n" ); document.write( "small photograph =4 cm
\n" ); document.write( "large photograph.= 6 cm\r
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