Question

If a triangle has side lengths of 3x, 2x -4, and x + 6, what expression would represent the perimeter of the figure? P= 5x + 10 P= 5x - 10 P= 6x + 2 P= 6x - 2

Answer 1

Perimeter, P is given as

Therefore P = 6x+2 ...............{Which is the required expression}

Explanation:

Given:

Consider a Triangle ΔABC with the sides as

AB = 3x

BC = 2x - 4

AC = x + 6

To Find :

Perimeter of a Triangle = ?

Solution:

Perimeter of Triangle:

Sum of the measures of all the sides of a triangle is called Perimeter of a triangle.

`\textrm{Perimeter of a triangle ABC} = l(AB) +l(BC)+l(AC)`

Substituting the given values in above equation we get

`\textrm{Perimeter of a triangle}= 3x+(2x-4)+(x+6)\\\\\textrm{Perimeter of a triangle}= 6x+2\\\\\therefore P=6x+2\ \textrm{Which is the required expression}`

Therefore P = 6x+2 ...............{Which is the required expression}