HiyaY304848 HiyaY304848
  • 25-10-2022
  • Mathematics
contestada

write an expression for the perimeter of this pentagon. if the perimeter is 157 united find x

write an expression for the perimeter of this pentagon if the perimeter is 157 united find x class=

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DuruG223840 DuruG223840
  • 25-10-2022

The perimeter of the pentagon = the sum of the lengths of the sides

There are two sides of the length (4x-1) and three sides of the length (3x+2)

so,

The perimeter =

[tex]2\cdot(4x-1)+3\cdot(3x+2)[/tex]

Given the perimeter = 157

So,

[tex]2\cdot(4x-1)+3\cdot(3x+2)=157[/tex]

Solve the equation to find the value of x

[tex]\begin{gathered} 2\cdot(4x-1)+3\cdot(3x+2)=157 \\ 8x-2+9x+6=157 \\ 17x+4=157 \\ 17x=157-4 \\ 17x=153 \\ \\ x=\frac{153}{17}=9 \end{gathered}[/tex]

So, the value of x = 9

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