The larger of two similar polygons has a perimeter of 175 cm. if the scale between the two polygons is 3/4, what is the perimeter of the smaller polygon?

Answer :

Let the perimeters be P1 (for the smaller one ) and (P2 for thr larger one), we have,

[tex]\frac{P1}{P2}=\frac{3}{4}[/tex]

Also we have P2 = 175,

[tex]\begin{gathered} \frac{P1}{175}=\frac{3}{4} \\ P1=\frac{175\times3}{4}=131.25\text{ cm} \end{gathered}[/tex]

The answer is 131.25 cm.