Question

the perimeter of a geometric figure is the sum of the lengths of the sides the perimeter of the 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 i need help solve this word problem

Answer 1

A.

The perimeter of the pentagon is the sum of the 5 sides of the figure

the sum of the five sides = x + x + x+ 3x +3x (centimeter)

=> 9x

we are also told that the perimeter is 54 centimeter

=> 9x = 54

B.

to solve the equation 9x = 54

divide both sides by the coefficient of x

`\begin{gathered} (9x)/(9)=(54)/(9)\text{ } \\ x\text{ = 6} \end{gathered}`

C. to get the length of each sides, substitue the value for x=6 into the sides so that we will have

6, 6, 6, 3(6), 3(6)

=> 6, 6, 6, 18,18 centimeters