document.write( "Question 850210: The length of a rectangle is 5 centimeters longer than its width. The area is 24 square centimeters. Find the dimensions of the rectangle. I've tried the formula A=1/2bh but I'm not sure how to find the base and height to plug in. \n" ); document.write( "
Algebra.Com's Answer #512046 by Ash14(5) ![]() You can put this solution on YOUR website! the area ; A =WL \n" ); document.write( "w=width \n" ); document.write( "L=length \n" ); document.write( "........ \n" ); document.write( "now \n" ); document.write( "\" rectangle is 5 centimeters longer than its width.\"means; \n" ); document.write( "length=5+W \n" ); document.write( ".......... \n" ); document.write( "The area is 24 ,MEANS; \n" ); document.write( "W*L=24 \n" ); document.write( "........ \n" ); document.write( "now we have 2 equations \n" ); document.write( "the first one is length=5+W \n" ); document.write( "and the second one is W*L=24 \n" ); document.write( "sub the value of length in second equation \n" ); document.write( "w*L=24 \n" ); document.write( "W*(5+w)=24 \n" ); document.write( "w*5+W*W=24 \n" ); document.write( "5w+w^2=24 \n" ); document.write( "by simple algebra find value of w \n" ); document.write( "w^2+5w-24=0 \n" ); document.write( "(w+8)(w-3)=0 \n" ); document.write( "so \n" ); document.write( "w=3 or w=-8 \n" ); document.write( "we cross out w=-8 (because we can not have a negative value for length) \n" ); document.write( "so we only use w=3 cm \n" ); document.write( "................... \n" ); document.write( "now \n" ); document.write( "sub value of w in the firs equation \n" ); document.write( "which is \n" ); document.write( "length =5+w \n" ); document.write( "length=5+(3) \n" ); document.write( "length=8 cm \n" ); document.write( "*********** \n" ); document.write( "*********** \n" ); document.write( "good luck :)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |