Question

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

Answer 1

A =
`[ (x - 24)/(2) ]^(2)` m²

Explanation:

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

Each side of the perimeter must be:
`(2x - 48)/(4)` (because a square has 4 sides)

We need to determine the side of each perimeter:

s =
`(2x - 48)/(4)`

Factor out 2 from the numerator:

s =
`(2(x - 24))/(4)`

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

s =
`((x - 24))/(2)` ← This represents the side of a square

Therefore, the area of a square is:

A = side (s)²

A =
`[ (x - 24)/(2) ]^(2)` m²