Question

Write an expression to represent the perimeter of the triangle below in simplest form

Answer 1

Perimeter of the given triangle =
`(7x+38)/((x+8)(x+5))` units

Explanation:

Perimeter of a polygon = Sum of the measures of all sides of the polygon

From the picture attached,

Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side

P =
`2((3)/(x+8))+(x)/(x+5)`

=
`(6)/((x+8))+(x)/((x+5))`

=
`(6(x+5)+(x+8))/((x+8)(x+5))`

=
`(6x+30+x+8)/((x+8)(x+5))`

=
`(7x+38)/((x+8)(x+5))` units

Therefore, perimeter of the given triangle is
`(7x+38)/((x+8)(x+5))` units