Question

The city of Yorkton, Saskatchewan, has an area of 24.0 km^2. If this city were a perfect square, what would it’s exact perimeter be? Express your answer as a mixed radical in simplest form. Pls help need this ASAP

Answer 1

8
`√(6)` inches

Explanation:

Let l represent the length of the square

The area of a square = l^2

That means,

l^2 = 24 km^2

Take the square root of both sides

l =
`√(24)`

l =
`\sqrt{4*6`

l =
`√(4) *√(6)`

l = 2
`√(6)`

Now lets find the perimeter

Perimeter of a square, P = 4l

P = 4* 2
`√(6)`

P = 8
`√(6)` inches