Answer:
A = [tex][ \frac{x - 24}{2} ]^{2}[/tex] m²
Step-by-step explanation:
Given that a square has a perimeter of (2x - 48),
Each side of the perimeter must be: [tex]\frac{2x - 48}{4}[/tex] (because a square has 4 sides)
We need to determine the side of each perimeter:
s = [tex]\frac{2x - 48}{4}[/tex]
Factor out 2 from the numerator:
s = [tex]\frac{2(x - 24)}{4}[/tex]
Then, cancel out 2 and 4 from the fraction, leaving 2 in the denominator:
s = [tex]\frac{(x - 24)}{2}[/tex] ← This represents the side of a square
Therefore, the area of a square is:
A = side (s)²
A = [tex][ \frac{x - 24}{2} ]^{2}[/tex] m²
