Question

A triangle pattern is shown below.

The perimeter of each figure in the pattern is shown in the table below.
Which equation relates the number of triangles in the figure (n) to the perimeter of the figure (P)?

A P=6n+18
B P=9n+6
C P=6n+9
D P=9n+12

Answer 1

A) P = 6n + 8

Explanation:

Given:

Perimeter of the 1 triangle = 24

Perimeter of the 2 triangle = 30

Perimeter of the 3 triangle = 36

Let's check with option A.

P = 6n + 18, where "n" is the number in the figure.

Plug in n = 1, we get

P = 6(1) + 18

= 6 +18

P = 25 True.

Plug in n =2, we get

P = 6(2) + 18

= 12 +18

P = 30 True.

Plug in n =3, we get

P = 6(3) + 18

P = 18 + 18

P = 36, true.

Therefore, the answer is A. P = 6n + 18

Thank you.