Question

Two similar parallelograms have areas of 18 in2 and 32 in2. Find the ratio of their perimeters.

Answer 1

To find the ratio of their perimeters, you need to know that the ratio of a perimeter is the square root of the ratio of the areas. (Area is 2 dimensional, so what you do to the perimeter will have twice or be squared for the area).

So, you would simplify the ratio of 18/32 to 9/16.

Then take the square root of 9 and 16 separately to find the ratio of the perimeters.

Square root of 9 is 3.
Square root of 16 is 4

So, the ratio of the perimeters is 3 in/4 in.