Question

Alice and Amy decide to meet at a party. From a corner of the party hall, Amy spots Alice at the corner of the hall diagonally opposite her. If the party hall is a rectangle that measures 100 feet by 60 feet, what is the shortest distance Amy has to walk to reach Alice? Round your answer to the nearest foot

Answer 1

I think the answer is 100. Let me know if I am wrong.

Answer 2

Distance between Alice and Amy is 117 feet.

Explanation:

As shown in the figure attached, Amy spots Alice at the corner of the party hall diagonally opposite her.

If the party hall is in a rectangle shape. Measure of the hall sides are 100 feet by 60 feet.

We know shortest distance from one corner to the other corner is a diagonal.

Therefore, shortest distance between Amy and Alice will be = length of the diagonal =
`\sqrt{100^(2)+60^(2)}`

=
`√(10000+3600)`

=
`√(13600)`

= 116.62

≈ 117 feet

Therefore, Alice and Amy are 117 feet apart.