Question

A square window in Miranda's house has an area of 255 in2 (squared). What is the perimeter of the window?

Answer 1

P = 63.87 in

Explanation:

area of a square window = 255 in²

find perimeter of the window.

A = s²

255 = s²

s = 15.97 in.

perimeter = 4 * s

P = 4 (15.97)

P = 63.87 in

Answer 2

If you meant the area was 255 in²:

Perimeter is
`4√(255)`, or around 63.89 in.

If you meant that the area was 225 in²:

Perimeter is 60 in

Explanation:

If you meant the area was 255 in²:

If we have a square with an area of 255 in², then it's side length will be
`√(255)` inches long, since the area of a square is
`l^2`, where l is the length.

Since
`√(255)` doesn't return a rational number, we'll leave it as
`√(255)`.

Now that we know the side length, the perimeter of a square is represented as
`4l`, where l is the length.

We know the length is
`√(255)`, so we can multiply this by 4.

`4√(255)`. This is the simplest it gets.

If you meant the area was 225 in²:

Following the same concept as again:

Length:
`√(225) = 15`

Perimeter:
`4\cdot15=60` in

Hope this helped!