# Two figures have a similarity ratio of 3:7. If the area of the larger figure is 294 cm what is the area of the smaller figure?

Apr 22, 2017

smaller area$= 126 c {m}^{2}$

#### Explanation:

Ratio 7$= 294$

:.Ratio 3$= \frac{3}{\cancel{7}} ^ \textcolor{red}{1} \times {\cancel{294}}^{\textcolor{red}{42}} / 1$

$\therefore = 3 \cdot 42 = 126 c {m}^{2}$

check:

$\therefore {\cancel{126}}^{\textcolor{red}{3}} / {\cancel{294}}^{\textcolor{red}{7}}$

$\therefore \frac{3}{7} = r a t i o 3 : 7$