document.write( "Question 6219: The area of a rectangular piece of concrete is 120 square feet, and its perimeter is 46 feet. What are the dimensions of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #3319 by minerva(22)![]() ![]() ![]() You can put this solution on YOUR website! well,this is an easy one but requres concentration.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " heres my solution. \n" ); document.write( " statements:- \n" ); document.write( " 2(l+b)=46 (perimeter) \n" ); document.write( " (l+b)=46/2 \n" ); document.write( " l+b=23\r \n" ); document.write( "\n" ); document.write( " therfore l=23-b \n" ); document.write( " SUBSTITTUTING THE VALUES:-\r \n" ); document.write( "\n" ); document.write( "area=l X b=12\r \n" ); document.write( "\n" ); document.write( " bX (23-b)=120 \n" ); document.write( " 23b -b^2=120 \n" ); document.write( " -(b^2 -23b +120)=0\r \n" ); document.write( "\n" ); document.write( " minus gets cancelled when diuvide d by 0\r \n" ); document.write( "\n" ); document.write( " so, b^2 -23b +120=0 \n" ); document.write( " b^2 -15b-8b+120=0\r \n" ); document.write( "\n" ); document.write( " b(b-15)-8(b-15)=0 \n" ); document.write( " b = 15 or b=8\r \n" ); document.write( "\n" ); document.write( " then.... l=23-b \n" ); document.write( " (a) 23-15=8 or (b)23-8=15\r \n" ); document.write( "\n" ); document.write( " solution b is correct as length is always grteater than breadth \n" ); document.write( " \n" ); document.write( " |