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The ratio of the areas of two similar polygons is 121:225. If the perimeter of the first polygon is 60 cm, what is the perimeter of the second polygon?

Round to the nearest tenth please!

1 Answer

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Answer:

The perimeter of the second polygon is 81.82 cm.

Explanation:

Since area for a polygon can be expressed as
Area = sidex^(2), then we can express the ratios in the same form:


(121)/(225) =(11^(2) )/(15^(2) )

We obtained from here that the ratio of the side is 11:15. Now, remember that perimeter is
Perimeter=4*side, then the ratio of perimeters will be also 11:15. To find the area of the second polygon, we establish a ratio equation:


(11)/(15) =(60)/(A_(2) )

Applying cross multiplication:


11*A_(2)=15*60\\A_(2)=(15*60)/(11) \\A_(2)=81.82 cm

User Anna Skoulikari
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