Two corresponding sides of similar polygons are in the ratio of 2:3. If the perimeter of a smaller figure is 6 meters, what is the perimeter of the larger figure?

My answer is: 9m.
Is this correct?

Yes

To solve this problem, we can use the concept of ratios of corresponding sides. If two polygons are similar, it means that their corresponding angles are equal, and the ratios of their corresponding sides are also equal.

In this problem, the ratio of the corresponding sides of the smaller and larger polygons is given as 2:3. This means that for every 2 units in the smaller polygon, there are 3 units in the larger polygon.

Given that the perimeter of the smaller figure is 6 meters, we can set up a proportion to find the perimeter of the larger figure.

Let "x" represent the perimeter of the larger figure. The proportion we can set up is:

2/3 = 6/x

To solve for "x," we can cross-multiply:

2x = 3 * 6
2x = 18

Finally, divide both sides of the equation by 2 to solve for "x":

x = 18/2
x = 9

Therefore, the perimeter of the larger figure is 9 meters.

So your answer of 9m is correct!