document.write( "Question 22221: The length of the floor of a rectangular closet is 1 foot more than the width. The area of the floor is 56 square feet. Find the length and width of the floor.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "I figured the answer was 7 and 8, beacause it made sense. But how would I have algebraicly found that answer?? \n" );
document.write( "
Algebra.Com's Answer #10756 by MORUPHOSUOLALE(24)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( " Area of the recatangular closet = \n" ); document.write( " Area =LxW \n" ); document.write( " 56= LxW\r \n" ); document.write( "\n" ); document.write( " SO IN OUR PROBLEM- LENGHT IS 1 FOOT MORE THAN THE WIDTH \n" ); document.write( " SO, L= 1+W \n" ); document.write( " WIDTH =W\r \n" ); document.write( "\n" ); document.write( " OUR NEW DIMESION IS- \n" ); document.write( " \n" ); document.write( " AREA= LENGHT X WINDTH \n" ); document.write( " 54=(1+W){W) \n" ); document.write( " 54=W(1+W} \n" ); document.write( " 54=W+W^2 \n" ); document.write( " 0=W^2+W-54 \n" ); document.write( "REWRITE AS W^2+W-54=0 IN A QUADRATIC FORM. \n" ); document.write( " TO SOLVE FOR W- \n" ); document.write( "FACTORISE OR solving using Almighty quadratic fomulae to get the width \n" ); document.write( " By factorizing- \n" ); document.write( " (w+8)(w-7)=0 \n" ); document.write( " w=-8 or w=7 \n" ); document.write( "We will have to choose 7 ,because a width cannot be negative so,so the width is 7 feet.\r \n" ); document.write( "\n" ); document.write( "Therefore if width is 7 feet. \n" ); document.write( " Lenght=1+W \n" ); document.write( " L=1+7 \n" ); document.write( " L=8 \n" ); document.write( "SO LENGHT= 8 FEET \n" ); document.write( " WIDTH= 7 FEET\r \n" ); document.write( "\n" ); document.write( "MORUPH OSUOLALE \n" ); document.write( "CENTRAL PIEDMONT COLLEGE, \n" ); document.write( "CHARLOTTE,NC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |