Answer: 48 inches, 14 inches, 21 inches and 14 inches.
Explanation:
1. The perimeter of the trapezoid is the sum of the lengths of its sides. You know that the perimeter is 97 inches, then, you can write the following expression:
![3.5x-1+x+x+1.5x=97\\7x-1=97](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l8b2sj3nckkivw9pl2w23xkwdvobe2j768.png)
2. Now, you must solve for x, as following:
![7x=97+1\\7x=98\\x=(98)/(7)\\x=14](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2pubuwpi8uoqz0uav87smg79qe1j9pygaa.png)
3. Then length of each side is:
![(3.5x-1)in=(3.5(14)-1)in=48in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3rky302y3pih35ngdsne5xdcsy7r8o36k5.png)
![1.5xin=(1.5)(14)in=21in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/npdd1fb229s7xyzfju86sczit7dz7tfmx2.png)
![x=14in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/950k8fmrtgz5caixbwe0eze85pz1pnjs0p.png)