The ratio of the areas of two similar polygons is 16:25. If the perimeter of the first polygon is 20 cm, what is the perimeter of the second polygon?

Question

Jerry Gilmore

Mathematics

7 August, 08:39

The ratio of the areas of two similar polygons is 16:25. If the perimeter of the first polygon is 20 cm, what is the perimeter of the second polygon?

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Chuckles · Answer 1

Area is a derived equation from the lengths of the side. To determine the ratio of the perimeters of the given figure, we have to get the square root of the given ratio of the areas. This gives us the new ratio of,

ratio of perimeter = 4:5

If we are to let x be the perimeter of the second polygon, we use the equation,

20/x = 4/5

The value of x from the equation is 25 cm.