Question

If a aquare has a,pwrimeter of (2×-48) meters, what expression represents its area?​

Answer 1

Answer:

A =  $[ \frac{x - 24}{2} ]^{2}$ m²

Step-by-step explanation:

Given that a square has a perimeter of (2x - 48),

Each side of the perimeter must be: $\frac{2x - 48}{4}$  (because a square has 4 sides)

We need to determine the side of each perimeter:

s = $\frac{2x - 48}{4}$

Factor out 2 from the numerator:

s = $\frac{2(x - 24)}{4}$

Then, cancel out 2 and 4 from the fraction, leaving 2 in the denominator:

s = $\frac{(x - 24)}{2}$  ← This represents the side of a square

Therefore, the area of a square is:

A = side (s)²

A =  $[ \frac{x - 24}{2} ]^{2}$ m²