Question

Mike has 2 mats that are in the shape of triangles the scale factor of the two triangular Matt's is 7/9 what is the ratio of the perimeters

Answer 1

7 : 9

Explanation:

Let the first mat has a length of the sides 7x, 7y, and 7z and the second mat has a length of the sides 9x, 9y and 9z.

{Since the scale factor of the two triangular mats is
`(7)/(9) = 7 : 9` }

Hence, the perimeter of the first mat will be (7x + 7y + 7z) and the perimeter of the second mat will be (9x + 9y + 9z).

Therefore, the ratio of the perimeters of the two mats will be (7x + 7y + 7z) : (9x + 9y + 9z) = 7(x + y + z) : 9(x + y + z) = 7 : 9. (Answer)