Answer:
27(a)
= x/4
Then A = x²/16
27(b)
When x = 4
A = 4²/16 = 16 /16 = 1
Explanation:
If the length of the wire is x m and is bent into a square then the perimeter of the square (sum of all 4 sides of square) must be x
Since each side of a square is the same, let's call it a, then perimeter = 4a
Therefore 4a = x
Or each side a = x/4
Area of a square of side a = a x a = a²
Substituting for a in terms of x:
Area = (x/4)² = x²/4² = x²/16 (Part A answer)
When x = 4
Area = 4²/16 = (4 x 4)/16 = 16/16 = 1
We can do this in another way:
When x = 4, perimeter = 4, each side a = 4/4 = 1
Area = a² = a x a = 1 x 1 = 1