Two similar hexagons have corresponding sides of 2cm and 5cm
(a) Find the ratio of their areas
(b) The area of the larger hexagon is 150cm2. Find the area of the smaller one
(a) The ratio of their areas is 25:4, or 6.25:1.
(b) The area of the smaller hexagon is 150cm2 / 6.25 = 24cm2.
area of a similar figure is proportional to the square of linear measurements
Abig = (5/2)^2 * Asmall = 6.25 *Asmall
so
Asmall = 150/6.25 = 24 cm^2