Answer:
The length and width is [tex]7\, \text{inches}\, \text{and}\, 4\, \text{inches}[/tex]
Step-by-step explanation:
The length of a rectangle is five inches less than three times the width.
[tex]l=3w-5[/tex]
The perimeter is 22 inches.
[tex]P=2(l+w)\\22=2(3w-5+w)\\11=-5+4w\\4w=11+5\\w=\dfrac{16}{4}\\w=4\, \text{inches}\\\\l=3(4)-5\\l=12-5\\l=7\, \text{inches}[/tex]
