document.write( "Question 160559: the length of a rectangular lot is 5 m longer than the width. The amount of fencing required is 54 m . Find the dimensions of the lot. \n" ); document.write( "
Algebra.Com's Answer #118413 by KnightOwlTutor(293)![]() ![]() You can put this solution on YOUR website! We are assigning x=width \n" ); document.write( "x+5 =Length \n" ); document.write( "We know that the perimeter=54 \n" ); document.write( "we know the formula for calculating the perimeter:w+L+w+L \n" ); document.write( "combining like terms P=2W+2L\r \n" ); document.write( "\n" ); document.write( "P=2X+2(x+5)=54 m \n" ); document.write( "use the distributive property\r \n" ); document.write( "\n" ); document.write( "2x+2x+10 \n" ); document.write( "=54m\r \n" ); document.write( "\n" ); document.write( "Combine like terms\r \n" ); document.write( "\n" ); document.write( "4x+10m=54m\r \n" ); document.write( "\n" ); document.write( "subtract 10 from both sides\r \n" ); document.write( "\n" ); document.write( "4x=44\r \n" ); document.write( "\n" ); document.write( "Divide both sides by 4 \r \n" ); document.write( "\n" ); document.write( "x=11\r \n" ); document.write( "\n" ); document.write( "the width =11m \n" ); document.write( "Length=11+5=16m\r \n" ); document.write( "\n" ); document.write( "Double check your answer by plugging in values into the perimeter equation\r \n" ); document.write( "\n" ); document.write( "2(11)+2(16)=\r \n" ); document.write( "\n" ); document.write( "22+32=54=54\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |