The widths of two similar triangles are 12 m and 8 m. What is the ratio of the perimeters? Of the areas?
3 : 2 and 18 : 6
5 : 4 and 25 : 16
3 : 2 and 9 : 4
5 : 4 and 36 : 25
The ratio of the perimeters of two similar triangles is equal to the ratio of their corresponding sides.
In this case, the ratio of the perimeters of the two triangles with widths 12 m and 8 m would be "3 : 2" as the ratio of their corresponding sides is 3 : 2.
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
So, for our case with widths 12 m and 8 m, the ratio of the areas would be (3^2) : (2^2) = 9 : 4.
Therefore, the correct answers are:
Ratio of perimeters: 3 : 2
Ratio of areas: 9 : 4