The resulting perimeter increases by the number of triangles n plus 2.
Table
no ∆| 1 2 3. 4 5 n+1
P. | 3 4 5 6 7 n +2
Equation: P = n + 2
This is a linear graph with Slope 1 and y-intercept 2.
What is perimeter of a shape?
When joining congruent 1-unit triangles to form a larger shape, the resulting perimeter increases by the number of triangles n plus 2.
Each triangle contributes one side, and there are two shared sides between adjacent triangles. The relation is P = n + 2
where P is the perimeter resulting shape.
Table
no ∆| 1 2 3. 4 5 n+1
P. | 3 4 5 6 7 n +2
Graphically
let y = P(perimeter)
x = n( number of triangle)
therefore,
y = x + 2
This is a linear graph with Slope 1 and y-intercept 2.