Perimeter of the rectangle = 34 cm Let us assume the length of the rectangle = x Let us assume the width of the rectangle = y Then Width of the rectangle can be determined by the equation 2x/3 = 3y/4 2x * 4= 3y * 3 8x = 9y x = (9y)/8 Now Perimeter of the rectangle = 2(length + width) 34 = 2(x + y) 34/2 = x + y x + y = 17 Now let us put the value of x in terms of y in the second equation x + y = 17 (9y/8) + y = 17 (9y + 8y)/8 = 17 17y = 17 * 8 y = (17 * 8)/17 = 8 cm Now let us put the value of y in the equation x + y = 17 x + 8 = 17 x = 17 - 8 = 9 cm So the length of the rectangle is 9 cm and the width of the rectangle is 8 cm.
