Middle School

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------------------------------------------------ Write an expression for the perimeter of this pentagon. If the perimeter is 157 units, find x.

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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

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