Question 175158
Let x equal the width of the rectangle.
Let y equal the length of the rectangle.

The description of the problem leads to the equations

l=w+5         Equation #1)

2*l+2*w=66 in. Equation #2)

Substitute equation #1 into equation #2

2*(w+5)+2*w=66 in.

Solve the equation for w

2w+10+2w=66 in.

Collect like terms

2w+2w=66-10
4w+56

Solve for w

w=56/4 = 14

So, from equation #1) l=w+5=14+5=19

I hope that this helps.