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Answer :

Step 1

Given;

[tex]\begin{gathered} Two\text{ parrallelograms have ratio }\frac{6}{5} \\ The\text{ perimeter of the larger figue is 72 units} \end{gathered}[/tex]

Required; To find the perimeter of the smaller figure,

Step 2

We will use the ratio below;

[tex]\frac{6}{5}=\frac{72}{Perimeter\text{ of small figure}}[/tex][tex]\begin{gathered} 6(perimeter\text{ of small figure\rparen=72\lparen5\rparen} \\ Perimeter\text{ of small figure=}\frac{72(5)}{6} \\ Perimeter\text{ of small figure=60units} \end{gathered}[/tex]

Answer;

[tex]Perimeter\text{ of small figure=60unit}^s[/tex]