The ratio of one side of a polygon to the corresponding side of a similar polygon is 5:8 The perimeter of the second polygon is 96. What is the perimeter of the first polygon.
To find the perimeter of the first polygon given the ratio and the perimeter of the second polygon, follow these steps:
1. Let's assume the length of the corresponding side of the first polygon is 'x'.
2. According to the given ratio, the length of the corresponding side of the second polygon is (5/8)*x.
3. We know that the perimeter of a polygon is the sum of the lengths of all its sides.
4. Let's say the number of sides in the second polygon is 'n'.
5. The perimeter of the second polygon is 96, so we can set up the equation:
(5/8)*x * n = 96
6. To find the value of 'n', we need to know the number of sides in the second polygon. If that information is given, substitute the value of 'n' into the equation.
7. Once you find the value of 'n', you can calculate the length of the corresponding side of the first polygon by substituting 'n' into the equation:
x = (8/5)*96/n
8. Finally, to calculate the perimeter of the first polygon, multiply the length of the corresponding side by the number of sides:
Perimeter of the first polygon = x * n