Question

4√5 mm what are the perimeter and the area of the square? 80 200 400 8√5 16√5 32√5 the perimeter of the square is millimeters. the area of the square is square millimeters.

Explanation:

Step1: Calculate the perimeter of the square

The formula for the perimeter of a square is \( P = 4s \), where \( s \) is the side length. Here, \( s = 4\sqrt{5} \) mm.
So, \( P = 4\times4\sqrt{5} = 16\sqrt{5} \) mm.

Step2: Calculate the area of the square

The formula for the area of a square is \( A = s^2 \), where \( s = 4\sqrt{5} \) mm.
So, \( A=(4\sqrt{5})^2 = 4^2\times(\sqrt{5})^2 = 16\times5 = 80 \) square millimeters.

Answer:

The perimeter of the square is \( 16\sqrt{5} \) millimeters.
The area of the square is \( 80 \) square millimeters.