Question

5. Heathcliff found a road map showing the driving route to a resort that he knows Gertrude enjoys. The map shows a roadway, starting from Heathcliff's position, that goes 8 miles north, 5 miles east, 7 miles north and finally 3 miles east. How many miles will be saved if Heathcliff and Gertrude fly directly to the resort?

Answer 1

$\sqrt{ (8+7)^{2} +(5+3)^{2} } =17$.
the answer is 17 miles

Answer 2

Answer: 6 miles will be saved.

Step-by-step explanation:

The total distance that he traveled is: 8 miles + 7 miles =15 miles to north.

And 5 miles + 3 miles = 8 miles to east.

Then the total distance is 15 miles + 8miles = 23 miles

If they did the direct path, the hipotenuse of a triangle with sides of 15miles and 8 miles, the distance would be:

D = √(15^2 + 8^2) = 17 miles

And the difference is equal to 23 miles - 17 miles  = 6 miles

So they will save 6 miles if they use a direct path.