Middle School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Write an expression for the perimeter of this pentagon. If the perimeter is 157 units, find x.

Dear beloved readers welcome to our website We hope your visit here brings you valuable insights and meaningful inspiration Thank you for taking the time

Answer :

This the only option to find x since doing the other way like 3x + 2 = 3x + 2 gives it an infinite solution.

4x - 1 = 3x + 2

-3x -3x

1x - 1 = 2

+1 +1

1x = 3

--- ----

1 1

x = 3

Check:

4(3) - 1 = 3(3) + 2

12 - 1 = 9 + 2

11 = 11

17x-153 is the required expression for the perimeter of this pentagon and value of x is 9.

What is Expression?

An expression is combination of variables, numbers and operators.

We know that perimeter is sum of all the sides of a polygon.

The sides of pentagon are (4x-1), 3x+2, 3x+2, 3x+2, 4x-1

The perimeter of pentagon is 157 units

Now let us find the expression

Perimeter=4x-1+4x-1+3x+2+3x+2+3x+2

157=4x-1+4x-1+3x+2+3x+2+3x+2

Add all the like terms

157=17x+4

17x+4=157

17x+4-157

17x-153

17x=153

Divide both sides by 17

x=9

Hence, 17x-153 is the required expression for the perimeter of this pentagon and value of x is 9.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Other Questions