Step-by-step explanation:
what does P mean ?
I assume it is perimeter ?
what is the perimeter of a square ?
come on, there is practically nothing in math that is easier to solve.
a square has 4 equal sides.
so, to go one time around the whole square, we have to go along every one of its 4 sides (which are all of equal length).
so, when I get the perimeter number, I know this is the result of all 4 sides added together.
and how can we express having 4 times the same number ? exactly how we say it in English : 4 times the number.
therefore
P = 4 × side length
and from there we can immediately deduct
side length = P / 4 = 3/4 in
now we know how long the sides of the square are.
what is the area of the square ?
like for any rectangle the area is length×width. just that length=width, so that we end up with length×length = length².
therefore, the area is
3/4 × 3/4 = (3/4)² = 9/16 in²
this is important : a length is measured e.g. in inches (in). an area is then measured in square-inches = in²