The scale factor of 2 similar polygons is 3:4. If the perimeter of the large polygon is 200, what is the perimeter of the small polygon?
perimeter is a linear measurement, so
perimeter of large / perimeter of small = 3/4
200/small = 4/3
4small = 600
small = 600/4
= 150
check"
150/ 200
= 3/4
second line should have been
perimeter is a linear measurement, so
perimeter of large / perimeter of small = 4/3
The rest stays the same
To find the perimeter of the small polygon, we need to determine the scale factor between the two polygons.
Given that the scale factor is 3:4, we can set up the following equation:
Scale factor = Perimeter of large polygon / Perimeter of small polygon
Substituting the given values, we have:
3/4 = 200 / Perimeter of small polygon
To find the perimeter of the small polygon, we can cross-multiply and solve for Perimeter of small polygon:
3 * Perimeter of small polygon = 4 * 200
3 * Perimeter of small polygon = 800
Dividing both sides by 3, we get:
Perimeter of small polygon = 800 / 3
Therefore, the perimeter of the small polygon is approximately 266.67.
To find the perimeter of the small polygon, we need to use the scale factor given and the perimeter of the large polygon.
The scale factor is the ratio of corresponding side lengths of the two polygons. In this case, the scale factor is 3:4.
Let's call the perimeter of the small polygon "P". Since the scale factor is 3:4, we can set up the following equation:
(Perimeter of small polygon) / (Perimeter of large polygon) = scale factor
P / 200 = 3/4
To solve for P, we can cross-multiply:
4P = 3 * 200
4P = 600
Dividing both sides by 4:
P = 600 / 4
P = 150
Therefore, the perimeter of the small polygon is 150.