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The area of a square in square feet is represented by z² + 8z + 16.

Find an expression for a side length of
the square.


Find the perimeter of the square when z=12.​

Sagot :

Answer:

Side length: z + 4

Perimeter: 64

Step-by-step explanation:

Hello!

Since the area of a square is the square of the sde length,

using the special binomial product formula: (a+b)² = a² + 2ab + b²:

  • z² + 8z + 16
  • (z + 4)²

The side length of the square is (z+4)².

The perimeter is 4(z + 4), where z is 12:

  • 4(12 + 4)
  • 4(16)
  • 64

The side length is z + 4, the perimeter is 64