Given that the ratios of the perimeter of two similar shapes is 3/5, what is the ratio of their perimeters.
Just a guess: 3/5?
To find the ratio of the perimeters of two similar shapes, you can use the given ratio of their perimeters as a guide.
Let's assume that the perimeter of the first shape is represented by P₁, and the perimeter of the second shape is represented by P₂.
According to the problem, the ratio of the perimeters is 3/5. This can be written as:
P₁/P₂ = 3/5
To find the ratio of their perimeters, we can cross-multiply and solve for P₁/P₂:
5 * P₁ = 3 * P₂
To simplify further, divide both sides by P₂:
5 * P₁ / P₂ = 3 * P₂ / P₂
This yields:
5/3 = P₁/P₂
Therefore, the ratio of their perimeters is 5/3.