Respuesta :
The perimeter of the quadrilateral is 129 inches.
Quadrilateral
It is a shape having four sides and four angles.
The perimeter of the quadrilateral
Perimeter = Sum of all the sides of the quadrilateral.
Given
The four sides of a quadrilateral are a function of x that is
[tex]\begin{aligned} \rm First\ side &= 31\\\rm Second\ side &= 4x^{2} +8x\\\rm Thisd\ side &= 3x^{2} -x+20\\\rm Forth\ side &= 7x+30\\\end{aligned}[/tex]
How to calculate the perimeter for x = 2?
For x = 2 the sides becomes
[tex]\begin{aligned} \rm First\ side &= 31\\\rm Second\ side &= 4x^{2} +8x = 4*2^{2} +8*2 = 32 \\\rm Thisd\ side &= 3x^{2} -5x+20 = 3*2^{2}-5*2+20 = 22 \\\rm Forth\ side &= 7x+30 = 7*2+30=44\\\end{aligned}[/tex]
Then the perimeter will be
[tex]\rm Perimeter = Sum\ of\ all\ the\ sides\ of\ the\ quadrilateral.\\Perimeter = 31+32+22+44\\Perimeter = 129[/tex]
Thus, the perimeter is 129 inches.
More about The perimeter of the quadrilateral link is given below.
https://brainly.com/question/9145366
