document.write( "Question 282202: The perimeter of an equilateral triangle is 45 inches.A rectangle whose width is 1-3 its length has a perimeter of 48 inches.Which figure has the longest side and why? \n" ); document.write( "
Algebra.Com's Answer #204942 by dabanfield(803)![]() ![]() ![]() You can put this solution on YOUR website! The perimeter of an equilateral triangle is 45 inches.A rectangle whose width is 1-3 its length has a perimeter of 48 inches.Which figure has the longest side and why?\r \n" ); document.write( "\n" ); document.write( "The equalateral triangle has equal sides so each side has length 45/3 = 15.\r \n" ); document.write( "\n" ); document.write( "If w is the width of the rectangle and 3w is the length then the perimeter is:\r \n" ); document.write( "\n" ); document.write( "2*w + 2*(3w) = 48 \n" ); document.write( "8*w = 48 \n" ); document.write( "w = 6\r \n" ); document.write( "\n" ); document.write( "The length is 3*w = 3*6 = 18 so the rectangle's length is the longest side of the two figures. \n" ); document.write( " |