A regular pentagon with a perimeter of 21 inches is dilated by a scale factor of

5/3 to create a new pentagon. What is the perimeter of the new pentagon?

it is 35 for ttm

Answer: 35 inches

Each side of the pentagon is multiplied by 5/3 to get the length of each new side, so the perimeter is multiplied by 5/3 to get the new perimeter.

New perimeter = (scale factor) * (old perimeter)

New perimeter = (5/3) * (old perimeter)

New Perimeter = (5/3) * (21)

New Perimeter = (5/3) * (21/1)

New Perimeter = (5*21) / (3*1)

New Perimeter = 105/3

New Perimeter = 35 inches