Answer:
50.33 miles
Explanation:
The Pythagorean Theorem: a^2 + b^2 = c^2; in other words, side 1^2 + side 2^2 = hypotenuse^2.
School to Pizza Palace:
x^2 = 12^2 + 1^2 = 144 + 1 = 145
x = sqrt(145) = about 12.04
Pizza Palace to Movies:
x^2 = 8^2 + 4^2 = 64 + 16 = 80
x = sqrt(80) = about 8.94
Movies to Home:
x^2 = 6^2 + 4^2 = 36 + 16 = 52
x = sqrt(52) = about 7.21
Home to Park:
x^2 = 5^2 + 7^2 = 25 + 49 = 74
x = sqrt(74) = about 8.60
Park to School:
x^2 = 8^2 + 3^2 = 64 + 9 = 73
x = sqrt(73) = about 8.54
School to Home:
x^2 = 3^2 + 4^2 = 9 + 16 = 25
x = 5
Sum = 12.04 + 8.94 + 7.21 + 8.60 + 8.54 + 5 = 50.33 miles