Algebra word problem

Question

Jovani has 146 feet of fencing to make a rectangular garden in his backyard. He wants the length to be 33 feet more than the width. Find the width.

Answer 1

1) 2L+2W=146 (AREA OF A RECTANGLE)

where L is length and W is width

we are given that:

2) L=W+33

Solve by plugging in L in #2 in equation #1

2(W+33)+2W=146

2W+66+2W=146

4W=80==>W=20

L=20+33=53

2(53)+2(20)=146

THUS L= 53 and W is 20