Question

the area of a square rug is 64 square feet. what is the perimeter of the rug?
8 ft
16 ft
32 ft
40 ft

Explanation:

Step1: Find side length of square

The area of a square is given by the formula \( A = s^2 \), where \( A \) is the area and \( s \) is the side length. We know \( A = 64 \) square feet. So we solve for \( s \):
\( s = \sqrt{A} = \sqrt{64} = 8 \) feet.

Step2: Calculate the perimeter

The perimeter \( P \) of a square is given by \( P = 4s \). Substituting \( s = 8 \) feet:
\( P = 4 \times 8 = 32 \) feet.

Answer:

32 ft (Note: The original selected option in the image was incorrect; the correct perimeter is 32 feet.)