document.write( "Question 486417: The length of a side of an equilateral triangle is the same as the length of a rectangle and the width of the rectangle is 2 inches less than its length. if the primeter of the triangle is 4 inches less than the primeter of the rectangle, what are the dimensions of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #332564 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The length of a side of an equilateral triangle is the same as the length of a rectangle and the width of the rectangle is 2 inches less than its length. \n" ); document.write( " if the perimeter of the triangle is 4 inches less than the perimeter of the rectangle, what are the dimensions of the rectangle? \n" ); document.write( ": \n" ); document.write( "Let x = the length of the side of the triangle and the length of the rectangle \n" ); document.write( "then \n" ); document.write( "(x-2) = the width of the rectangle \n" ); document.write( ": \n" ); document.write( "\"the perimeter of the triangle is 4 inches less than the perimeter of the rectangle,\" \n" ); document.write( "3x = 2x + 2(x-2) - 4 \n" ); document.write( "3x = 2x + 2x - 4 - 4 \n" ); document.write( "3x = 4x - 8 \n" ); document.write( "3x - 4x = -8 \n" ); document.write( "-x = -8 \n" ); document.write( "therefore \n" ); document.write( "x = 8 inches is the length of the rectangle (and the side of the triangle) \n" ); document.write( "then \n" ); document.write( "8 - 2 = 6 in is the width of rectangle \n" ); document.write( ": \n" ); document.write( "8 by 6 is the dimensions of the rectangle \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if that checks out: \n" ); document.write( "Triangle 3(8) = 24 in \n" ); document.write( "Rect: 2(8)+2(6) = 28 in \n" ); document.write( "----------------------- \n" ); document.write( "difference: 4 inches \n" ); document.write( " |