Question

In the figure below, what is the ratio of the areas of shaded region I to the shaded region II ?

Answer 1

From the figure,

Area of the shaded region I = $\text{5×5 = 25 square units}$

Area of the shaded region II = $\text{8×5 = 40 square units}$

The ratio of the areas of the shaded region I to the shaded region II = $\frac{\text{Area of shaded region I}}{\text{Area of shaded region II}}$

= $\frac{25}{40}$

= $\frac{5\times 5}{8\times 5}$

= $\frac{5}{8}=5:8$

Hence, the ratio of the areas of the shaded region I to the shaded region II is $5:8.$