Answer:
The perimeter is 129 inches
Explanation:
we know that
The perimeter of a quadrilateral is the sum of its four length sides
Let
![a=(4x^2+8x)\ in\\b=31\ in\\c=(3x^2-5x+20)\ in\\d=(7x+30)\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3dpnzgq10a8s4y6k7nofye71c58wl978gd.png)
The perimeter is equal to
![P=a+b+c+d](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4g98ljs28q3wxnn8871djzzs76f7wzvt9x.png)
If x=2
then
Find out the value of each side
![a=(4(2)^2+8(2))=32\ in\\b=31\ in\\c=(3(2)^2-5(2)+20)=22\ in\\d=(7(2)+30)=44\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2wfcagyi1nswnn86n61et6qun1u3qi6jbd.png)
substitute the values in the formula of perimeter
The perimeter is
![P=32+31+22+44=129\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wwgth4isb24bja3iwosse011xrvru83ufv.png)