Question

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.​

Answer 1

Side length: z + 4

Perimeter: 64

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