if the length of one side of a square is 1/2h, find the representation of the area.
If a side of a square is s, the area is s squared.
area of square is (length of side)^2.
Substitute 1/2h for (length of side) and go from there.
To find the representation of the area of a square when the length of one side is 1/2h, we can use the formula for the area of a square, which is s squared, where s represents the length of a side of the square.
Given that the length of one side of the square is 1/2h, we can substitute this value into the formula for s.
Let's do the substitution:
s = 1/2h
Now, we can find the representation of the area by squaring this expression:
(area of square) = (length of side)^2
Substituting 1/2h for (length of side):
(area of square) = (1/2h)^2
To simplify further, we can square the numerator and denominator:
(area of square) = (1^2)/(2^2h^2)
(area of square) = 1/4h^2
So, the representation of the area of the square, when the length of one side is 1/2h, is 1/4h^2.