document.write( "Question 528560: The length of a rectangle is 3 times the width. The perimeter of the rectangle is equal to the perimeter of a triangle that has one side equal to the length of the rectangle. The sum of the other 2 sides of the triangle equals 85. What is the length and width of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #349455 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let the three sides of the triangle be; a, b, c \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement. \n" ); document.write( ": \n" ); document.write( "The length of a rectangle is 3 times the width. \n" ); document.write( "L = 3W \n" ); document.write( ": \n" ); document.write( " The perimeter of the rectangle is equal to the perimeter of a triangle \n" ); document.write( "2L + 2W = a + b + c \n" ); document.write( ": \n" ); document.write( "that has one side equal to the length of the rectangle. \n" ); document.write( "a = L \n" ); document.write( ": \n" ); document.write( "The sum of the other 2 sides of the triangle equals 85. \n" ); document.write( "b + c = 85 \n" ); document.write( ": \n" ); document.write( "2L + 2W = a + b + c \n" ); document.write( "Replace a with L, replace b+c with 85 \n" ); document.write( "2L + 2W = L + 85 \n" ); document.write( "2L - L + 2W = 85 \n" ); document.write( "L + 2W = 85 \n" ); document.write( "Replace L with 3W \n" ); document.write( "3W + 2W = 85 \n" ); document.write( "5W = 85 \n" ); document.write( " W = 85/5 \n" ); document.write( " W = 17 is the width of the rectangle \n" ); document.write( "then \n" ); document.write( "3(17) = 51 is the length of the Rectangle \n" ); document.write( ": \n" ); document.write( "You should confirm this by finding the actual perimeter of the rectangle and the triangle. \n" ); document.write( " 2(51) + 2(17) = 51 + 85\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |