Question

Get the perimeter of the shaded region in the 2 picture down below. Perimeter is the sum of all sides of a polygon or a rectangle.

Answer 1

The perimeter of the shaded region in Picture One is 9x^2 + 24, and in Picture Two, it is 5x^2 + 30, where x represents a variable.

Picture One:

Perimeter = (3x^2 - 2) + 5 + 7 + (6x^2 + 5) + 7 + 5

Combine like terms:

Perimeter = 9x^2 + 24

Picture Two:

Perimeter = (2x^2 + 4) + 8 + (2x^2 + 4 - (x^2 - 8)) + 3 + (x^2 - 8) + 3 + 8

Combine like terms:

Perimeter = 5x^2 + 30

So, the perimeter of the shaded region in Picture One is 9x^2 + 24, and the perimeter in Picture Two is 5x^2 + 30.