document.write( "Question 1052294: eden made a rectangular mosaic using 256 one centimeter square tiles. she used exactly 80 cm wood to make the frame. what are the dimensions of her design? \n" ); document.write( "
Algebra.Com's Answer #667681 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! we have two equations in 2 unknowns \n" ); document.write( ": \n" ); document.write( "let l be length and w be width, then \n" ); document.write( ": \n" ); document.write( "1) 2l + 2w = 80 \n" ); document.write( ": \n" ); document.write( "2) l * w = 256 \n" ); document.write( ": \n" ); document.write( "solve equation 1 for l \n" ); document.write( ": \n" ); document.write( "l = 40 - w \n" ); document.write( ": \n" ); document.write( "substitute for l in equation 2 \n" ); document.write( ": \n" ); document.write( "(40 - w) * w = 256 \n" ); document.write( ": \n" ); document.write( "-w^2 +40w -256 = 0 \n" ); document.write( ": \n" ); document.write( "(-w +32) * (w -8) = 0 \n" ); document.write( ": \n" ); document.write( "w = 32 or w = 8 \n" ); document.write( ": \n" ); document.write( "********************************** \n" ); document.write( ": \n" ); document.write( "by convention length > width, so \n" ); document.write( ": \n" ); document.write( "length = 32 cm and width = 8 cm \n" ); document.write( ": \n" ); document.write( "********************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |