Question

X centimetersThe perimeter of a geometric figure is the sum of the lengths of its sides. The perimeter ofthe pentagon (five-sided figure) on the right is 54 centimeters.a. Write an equation for perimeter.b. Solve the equation in part (a).c. Find the length of each side.X centimetersx centimeters3x centimeters3x centimetersa. Choose the correct answer below.O A. x + x + x + 3x + 3x = 54OB. 9x5 = 54O C. X + x + x + x + x = 54OD. X + x + x + 3x + 3x = 9

Answer 1

The perimeter of a geometric figure is the sum of it's side lengths.

We have a pentagon with side lengths equal to:

x, x, x, 3x, and 3x

a)

The perimeter of this pentagon is:

P = x + x + x + 3x + 3x

Since the perimeter is given as 54 cm:

x + x + x + 3x + 3x = 54

Answer: Option A

b) Solve the equation in part a)

Collecting all like terms:

9x = 54

Dividing by 9:

x = 54 / 9

x = 6 cm

c) Find the length of each side.

The sides are

x=9 cm

x=9 cm

x=9 cm

3x=27 cm

3x=27 cm