Answer:
Michelle didn't double the height and width for the perimeter and the correct expression is:
[tex]\frac{5}{3}x+70[/tex]
Step-by-step explanation:
Given
Length = l = 5/6x+23
Width = w = 12
The perimeter of a rectangle is given by:
[tex]P = 2(l+w)[/tex]
Putting the values, we get
[tex]P = 2\{(\frac{5}{6}x+23)+12\}\\\\P = 2(\frac{5}{6}x+23+12}\\P =2(\frac{5}{6}x+35)\\P = 2*\frac{5}{6} + 2* 35\\P =\frac{5}{3}x+70[/tex]
The length and width had to be doubled for the perimeter which Michelle didn't.
Hence,
Michelle didn't double the height and width for the perimeter and the correct expression is:
[tex]\frac{5}{3}x+70[/tex]
