The distance around lot is 4 miles
Solution:
Given that the rectangular lot is [tex]1\frac{1}{8}[/tex] mile by [tex]\frac{9}{10}[/tex] mile
To find: Distance around the lot
Distance around the lot means we have to find the perimeter of rectangular lot
From given question,
[tex]length = 1\frac{1}{8} = \frac{8 \times 1+1}{8} = \frac{9}{8} \text{ miles}[/tex]
[tex]width = \frac{9}{10} \text{ miles }[/tex]
The perimeter of rectangle is given as:
perimeter = 2(length + width)
Substituting the length and width, we get
[tex]perimeter = 2(\frac{9}{8} + \frac{9}{10})\\\\perimeter = 2(1.125 + 0.9)\\\\perimeter = 2(2.025) = 4.05\\\\perimeter = 4.05 \approx 4[/tex]
Thus distance around lot is 4 miles
