Answer: 48 inches, 14 inches, 21 inches and 14 inches.
Step-by-step 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:
[tex]3.5x-1+x+x+1.5x=97\\7x-1=97[/tex]
2. Now, you must solve for x, as following:
[tex]7x=97+1\\7x=98\\x=\frac{98}{7}\\x=14[/tex]
3. Then length of each side is:
[tex](3.5x-1)in=(3.5(14)-1)in=48in[/tex]
[tex]1.5xin=(1.5)(14)in=21in[/tex]
[tex]x=14in[/tex]
