Answer:
The perimeter of the second polygon is 81.82 cm.
Step-by-step explanation:
Since area for a polygon can be expressed as [tex]Area = sidex^{2}[/tex], then we can express the ratios in the same form:
[tex]\frac{121}{225} =\frac{11^{2} }{15^{2} }[/tex]
We obtained from here that the ratio of the side is 11:15. Now, remember that perimeter is [tex]Perimeter=4*side[/tex], then the ratio of perimeters will be also 11:15. To find the area of the second polygon, we establish a ratio equation:
[tex]\frac{11}{15} =\frac{60}{A_{2} }[/tex]
Applying cross multiplication:
[tex]11*A_{2}=15*60\\A_{2}=\frac{15*60}{11} \\A_{2}=81.82 cm[/tex]
