Answer: 3400 feet
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Step-by-step explanation:
Let
- A = (-5, -3)
- B = (-5, 5)
- C = (4, 5)
- D = (4, -3)
be the labels for buildings 1 through 4 in that order.
You could use the distance formula to calculate the distance between each adjacent point, and then add up those values.
A quicker way is to plot all four points on the same xy grid system. Then simply count the spaces between each point to find that
See below for the diagram.
Essentially we have rectangle ABCD with base 9 and height 8
The perimeter of this rectangle is 8+9+8+9 = 34
The problem tells us that 1 unit on the grid represents 100 feet. Since the perimeter was 34, this scales up to 34*100 = 3400 feet that the courier traveled.
This is a little over half a mile since 1 mile = 5280 ft and 3400 ft = 3400/5280 = 0.64 miles approximately.