document.write( "Question 417178: The length of a rectangule is 2 cm more than 5 times the width, the perimeter is 196 cm. find the width and length \n" ); document.write( "
Algebra.Com's Answer #292150 by jsmallt9(3758) ![]() You can put this solution on YOUR website! Let x = the width \n" ); document.write( "Then the length which is \"2 cm more than 5 times the width\" would be: 2+5x \n" ); document.write( "The perimeter is is the sum of 2 lengths and 2 widths. So \n" ); document.write( "196 = 2*x + 2*(2+5x) \n" ); document.write( "which simplifies to: \n" ); document.write( "196 = 2x + 4 + 10x \n" ); document.write( "196 = 12x + 4 \n" ); document.write( "Subtracting 4 from each side: \n" ); document.write( "192 = 12x \n" ); document.write( "Dividing both sides by 12: \n" ); document.write( "16 = x \n" ); document.write( "Since x was the width, the width is 16. The length is 2+5x. Since x = 16, the length would be 2 + 5(16) = 1 + 80 = 82. \n" ); document.write( "So width = 16cm and length = 82cm. \n" ); document.write( " |