Question

The area of a square photo frame is 250 cm.

Find the perimeter of the photo frame, leaving
your answer correct to 1 decimal place.​

Answer 1

Answer:
`63.2\ cm`

Explanation:

The area of a square can be calculated with the following formula:

`A=s^2`

Where "s" is the lenght of each side.

If you solve for "s":

`s=√(A)`

According to the information provided in the exercise, the area of the square photo frame is:

`A=250\ cm^2`

Knowing its area, you can substitute it into
`s=√(A)` and evaluate in order to find "s":

`s=√(250\ cm^2)\\\\s=15.81\ cm`

Since the perimeter of a figure is the sum of the lenght of its side and the all four sides of a square are equal, you get that its perimeter is:

`P=15.81\ cm+15.81\ cm+15.81\ cm+15.81\ cm\\\\P\approx63.2\ cm`