Respuesta :

use the pythagorean theorem
AL2006

They're just asking for the length of each heavy line !

For each one, you can easily see how many boxes TALL it is, and how many boxes WIDE it is.  Those two measurements, plus the heavy line, make a right triangle.  The two measurements are the legs of the triangle, and the heavy line is the hypotenuse.  So the length of the heavy line is

√(one measurement² + the other measurement²).

For example, the first one, A+B+C .

Line A is 2 boxes to the RIGHT and 2 boxes UP.

Line B is 2 boxes the LEFT and 3 boxes DOWN.

Line C is 1 box to the RIGHT and 2 boxes DOWN.

When you addum up, you get 1 to the RIGHT and 3 DOWN.

Length = √(1²+3²)

Length = √(1 + 9)

Length = √10  boxes

But at the beginning, they said that each box has edges of 10 km.

So the length is (10km) x (√10).

That's about 31.6 km.