The perimeter of lot C is 46.64 miles
Lot C is a square, hence the perimeter of lot C with a length of each side as a miles is:
Perimeter = 4 * length = 4a
40 = 4a
a = 10 miles
Lot B is a square, hence the perimeter of lot B with a length of each side as b miles is:
Perimeter = 4 * length = 4b
24 = 4b
b = 6 miles
Let c represent the length of lot A,, since a, b, c form a right angle triangle. Using Pythagoras theorem:
c² = a² + b²
c² = 10² + 6²
c² = 136
c = 11.66 miles
Perimeter of lot C = 4 * c = 4 * 11.66 = 46.64 miles
The perimeter of lot C is 46.64 miles
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