A rectangle and a triangle have equal areas. The length and width of the rectangle are 24 cm and 8 cm respectively. If the base of the triangle is 16 cm, what is the height of the triangle?

The area of rectangle = 24 * 8 = 192 cm^2;

The area of triangle = (16 * h) / 2 = 8 * h; where h = the height of the triangle;

the rectangle and the triangle have equal areas; 192 = 8 * h;

h = 192 : 8;

h = 24 cm;