document.write( "Question 26320: Find the dimensions of a rectangle whose perimeter is 46m ans whose area is 126 m^2. (Hint: Let the width be w. Use the perimeter to find the length in terms of w.) \n" ); document.write( "
Algebra.Com's Answer #14191 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Perimeter=2l+2w=46 \n" ); document.write( "Divide by 2 to get l+w=23 \n" ); document.write( "Also, Area=lw=126 \n" ); document.write( "Use substitution to solve: \n" ); document.write( "l=23-w \n" ); document.write( "Sustitute to get: (23-w)(w)=126 \n" ); document.write( "w^2-23w+126=0 \n" ); document.write( "(w-9)(w-14)=0 \n" ); document.write( "w=9 or w=14 \n" ); document.write( "If w=9, then l=23-9=14 \n" ); document.write( "If w=14, then l=23-14=9 \n" ); document.write( "So, the dimentions are 9 and 14.\r \n" ); document.write( "\n" ); document.write( "Cheers \n" ); document.write( "Stan H. \n" ); document.write( " |