document.write( "Question 798407: The length of a rectangle is 4 units longer than twice its width. If the perimeter of the rectangle is 62, how long is each side? \n" ); document.write( "
Algebra.Com's Answer #482174 by 2897696(96)![]() ![]() You can put this solution on YOUR website! VARIABLES: \n" ); document.write( "let the width of the rectangle = x\r \n" ); document.write( "\n" ); document.write( "let length= 4+2x\r \n" ); document.write( "\n" ); document.write( "since you are finding the perimeter of the rectangle, the formula is \r \n" ); document.write( "\n" ); document.write( "length + length + width + width = perimeter ==> 2(length)+2(width)= perimeter\r \n" ); document.write( "\n" ); document.write( "plug in variables for length and width. \n" ); document.write( " 2x+2(4+2x)=62 \n" ); document.write( " 2x+8+4x=62 \n" ); document.write( " 6x+8=62 (subtract 8 from both sides) \n" ); document.write( " 6x=54 (divide doth sides by 6) \n" ); document.write( " x=9 \n" ); document.write( "so the width is 9 \n" ); document.write( "length is 4+2x ==> 4+2(9) ==> 22 \n" ); document.write( "answer: width 9 length 22\r \n" ); document.write( "\n" ); document.write( "check: \n" ); document.write( "9+9+22+22=62 \n" ); document.write( "18+44=62 \n" ); document.write( "62=62 \n" ); document.write( " \n" ); document.write( " |