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?

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. 

New Time taken by Max to cover the same route = 2.8 hours

Step-by-step explanation:

Time taken by Max to cover a certain distance = 3.5 hours

Walking rate of Max to cover the distance = 2.4 miles per hour

Let the distance of the route = x miles

Now, Distance = Time × Speed

⇒ Distance of route = 3.5 × 2.4

⇒ Distance of route = 8.4 miles

Now, New speed of Max = 3 miles per hour

So, Distance = New Speed × Time

⇒ 8.4 = 3 × Time

New Time taken by Max to cover the same route = 2.8 hours