Question

From his home, Hassan would have to walk 1.8 miles north to get to his friend Jake's house and 4.5 miles east to get to his friend Ben's house. One day, Hassan walked from his home to Ben's house. Together, Ben and Hassan cut directly through the field that separated them from Jake's house. When they finished playing at Jake's, Hassan walked back home. In all, how far did Hassan walk? If necessary, round to the nearest tenth.

Answer 1

11.1 miles

Explanation:

You want the round trip distance Hassan walked, if he walked 4.5 miles east to Ben's house, he and Ben walked directly to Jake's house 1.8 miles north of Hassan's, then Hassan walked home from Jake's house.

Perimeter

The distance Hassan walked is the perimeter of the right triangle with legs 4.5 miles and 1.8 miles. The length of the hypotenuse is given by the Pythagorean theorem as ...

hypotenuse = √(4.5² +1.8²) = √23.49 ≈ 4.8 . . . miles

Then the total distance is ...

4.5 + 4.8 +1.8 = 11.1 . . . . miles

Hassan walked 11.1 miles in all.

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