Question

B. Rob would like to create a triangle that is

seven less than twice the perimeter of the
triangle below. Give an expression for the
perimeter of the new triangle in simplest form.

Answer 1

`14y + 9`

Explanation:

Perimeter of the given triangular above = sum of all its sides.

`= (y + 9) + 2y + (4y - 1) = y + 9 + 2y + 4y -1`

Collect like terms

`= y + 2y + 4y + 9 - 1`

`= 7y + 8`

If Bob creates a new triangle that is 7 less than twice of the perimeter of the triangle above, the expression of the new triangle would be:

`2(7y + 8) - 7`

Simplify

`2*7y + 2*8 - 7`

`14y + 16 - 7`

New perimeter =
`14y + 9`