Question

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

Answer 1

From the figure,

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

Area of the shaded region III = $\text{(5×5)+(2×5) =25+10= 35 square units}$

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

= $\frac{40}{35}$

= $\frac{8\times 5}{7\times 5}$

= $\frac{8}{7}=8:7$

Hence, the ratio of the areas of the shaded region II to the shaded region III is $8:7.$