Question

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

Answer 1

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 =

`2\cdot(4x-1)+3\cdot(3x+2)`

Given the perimeter = 157

So,

`2\cdot(4x-1)+3\cdot(3x+2)=157`

Solve the equation to find the value of x

`\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=(153)/(17)=9 \end{gathered}`

So, the value of x = 9