Question

2.

A park in the shape of a rectangle is 18 miles long and 24 miles wide. How much shorter is your walk
if you walk diagonally across the park instead of along the two sides of it?

Answer 1

12 miles less

Explanation:

18+24=42

If you walk in a L shape you walk 42 miles

If you walk diagonally:

ABC Right triangle

We have A and B (18 and 24)

Using the pythagorum theorem

a^2+b^2=c^2

18^2+24^2=C^2

324+576=C^2

900=C^2

Square root of 900=C

30=C

You would walk 30 miles

42-30=12

By walking diagonally, you would walk 12 miles less than going all the way around.

Answer 2

18² + 24² = x²

900 = x²

x = 30

18 + 24 = 42

42 - 30 = 12

Its shorter for 12 miles