New Millennium Academy · Mathematics

Perimeter of Triangles

🔺 Triangle

✏️ Activity

Three ants started their journey from point A of given triangles. Each of them travelled from A to B, B to C, and C to A.

📐 Conclusion:

🐜 The distance travelled by ants A, B, C around the triangles is actually the perimeter of their respective triangles.

Definition:

A path around any shape is called its perimeter.

🔧 Length of Wire / Rope Needed to Fence

Once (1 time)

$$L = P$$

Twice (2 times)

$$L = 2P$$

Thrice (3 times)

$$L = 3P$$

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General Formula — n times

$$\therefore \; L = nP$$

where P = Perimeter of the triangle | n = number of times the shape is fenced

💰 Total Cost of Fencing

If R is the rate of wire per unit length, then:

$$\therefore \; T.C = R \times L$$

T.C = Total Cost | R = Rate per unit | L = Total length of wire needed