the scale factor of 2 similar polygons is 2:3. The perimeter of the larger one is 150 centimeters, what is the parameter of the smaller one

To find the perimeter of the smaller polygon, we need to determine the scale factor between the larger and smaller polygons.

The scale factor is given as 2:3, which means that every length of the smaller polygon is 2/3 of the corresponding length in the larger polygon.

Let's assume that the perimeter of the smaller polygon is P centimeters.

Since the scale factor is 2:3, the perimeter of the larger polygon can be expressed as (2/3)P.

Given that the perimeter of the larger polygon is 150 centimeters, we can set up the equation:

(2/3)P = 150

To solve for P, we can multiply both sides of the equation by 3/2:

P = 150 * (3/2)

P = 225

Therefore, the perimeter of the smaller polygon is 225 centimeters.

To find the perimeter of the smaller polygon, we can use the concept of scale factor.

The scale factor is given as 2:3, which means that every corresponding side of the smaller polygon is two-thirds the length of the corresponding side of the larger polygon.

Let's assume that the perimeter of the smaller polygon is "x" centimeters.

Based on the given scale factor, we can set up the following proportion:

(Perimeter of larger polygon) / (Perimeter of smaller polygon) = (Length of corresponding side in larger polygon) / (Length of corresponding side in smaller polygon)

Substituting the given values:

150 / x = 3 / 2

To solve for x, we can cross-multiply:

2 * 150 = 3 * x

300 = 3x

Dividing both sides by 3:

x = 100

Therefore, the perimeter of the smaller polygon is 100 centimeters.

an isosceles trapeziod has legs that measure 24 units each. If the perimeter of the trapezoid is 150 units, what is the legth of its median?

Parameter or perimeter?

150 * 2/3 = ?