Question

The lengths of the three sides of a triangle are x + 1/5 , 2x + 1/5 and x + 1/2 (where x cannot equal zero).

What is the perimeter of the triangle?


The perimeter of the triangle is .

Answer 1

Perimeter=Sum of sides

`\\ \tt\hookrightarrow x+1/5+2x+1/5+x+1/2`

`\\ \tt\hookrightarrow 4x+2/5+1/2`

`\\ \tt\hookrightarrow 4x+9/10`

Add units at end

Answer 2

`4x+(9)/(10)`

Explanation:

Perimeter = total distance around a 2D shape

Therefore, perimeter of the triangle = x + 1/5 + 2x + 1/5 + x + 1/2

Collect like terms: x + 2x + x + 1/5 + 1/5 + 1/2

Combine like terms: 4x + 9/10

Therefore, the expression for the perimeter of the triangle is:

`4x+(9)/(10)`