Question

find the relationship between the number of shapes and the perimeter of the figure they form. represent this relationship using a table, words, an equation, and a graph. (pleasee helpp i only need the equation/word form)

Answer 1

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.