Question

In the center of town there is a square park with an area of 900 square feet. If Stephen walks from one corner of the park to the opposite corner, how far does he walk?

Answer 1

The distance walked by Stephen is 42.42 feet

Solution:

Given that In the center of town there is a square park with an area of 900 square feet

Stephen walks from one corner of the park to the opposite corner

To find: Distance walked by Stephen

We need to find the distance that the person walk from one corner of the park to the opposite corner.

So, we need to find the Diagonal of the square park

The diagonal of square is given as:

`\text{ Diagonal } = √(2) * \text{ side}`

Let us find the length of side of square

Given area of square = 900 square feet

The area of square is given as:

`area = (side)^2\\\\900 = (side)^2`

Taking square root on both sides,

`side = √(900) \\\\side = 30`

Thus length of each side of square is 30 feet

Therefore, length of diagonal is given as:

`diagonal = √(2) * 30\\\\diagonal = 1.414 * 30 = 42.42`

Hence, the distance that the person walks 42.42 feet