Question

Find the perimeter of figure F, if the scale factor of two regular geometric figures G to F is 3:4and the perimeter of figure G is 60 yards.

Answer 1

Given,

The ratio in the figure G and figure F is 3:4.

The perimeter of the figure G is 60 yards.

By using the rule of the proportionality,

`Ratio\text{ in figure G to F =}\frac{perimeter\text{ of figure G}}{perimeter\text{ of figure F}}`

Consider,

The perimeter of the figure F is x.

Substituting the vaalues of ratio and perimeter in the above expression,

`\begin{gathered} \frac{3\text{ }}{4}\text{=}\frac{60\text{ yards}}{x} \\ 3x=60*4\text{ yards} \\ x=(60*4)/(3)\text{ yards} \\ x=80\text{ yards} \end{gathered}`

Hence, the perimeter of the figure F is 80 yards.