which expression can be used to find the area, in square units, of a similar polygon with a side length of n units
Similar to what polygon?
To find the area of a similar polygon with a side length of n units, you can use the concept of ratios. The area of similar polygons is proportional to the square of the ratio of their side lengths.
Let's assume you have a polygon with a side length of m units and its area is A. Now, you have a similar polygon with a side length of n units, and you want to find its area.
We can set up a proportion based on the ratios of the side lengths:
m/n = A' / A
Here, A' represents the unknown area of the similar polygon.
By cross-multiplying, we get:
m * A' = n * A
Now, we can solve for A' (the area of the similar polygon):
A' = (n * A) / m
Therefore, the expression to find the area of a similar polygon with a side length of n units would be:
Area = (n * A) / m
where A is the area of the original polygon and m is the original side length.