Answer:
[tex]n = 7\frac{1}{4}[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment, we have:
[tex]Length = 4\frac{1}{4}ft[/tex]
[tex]Width = n[/tex]
[tex]Perimeter = 23fr[/tex]
Required
Determine n
Perimeter is calculated as:
[tex]Perimeter = 2(Length + Width)[/tex]
Substitute in values
[tex]23 = 2(4\frac{1}{4} + n)[/tex]
Convert to decimal
[tex]23 = 2(4.25 + n)[/tex]
Open Bracket
[tex]23 = 8.5 + 2n[/tex]
Collect Like Terms
[tex]2n = 23 - 8.5[/tex]
[tex]2n = 14.5[/tex]
[tex]n = 14.5/2[/tex]
[tex]n = 7.25[/tex]
[tex]n = 7\frac{1}{4}[/tex]
