Question

the perimeter of a rectangle is 74 feet. the length of the rectangle is 3 feet less than 4 times the width. what is the width of the rectangle in feet?

Answer 1

74= 2l+2w
l=4w-3

Substitute the l value
74= 2(4w-3)+2w
74= 8w-6+2w
74=10w-6
80=10w
8=w

Final answer: 8 ft

To check, find length and plug values in
l= 4w-3
l=4(8)-3
l=32-3
l=29

74=2(29)+2(8)
True
29= 4(8)-3
True