Question

A square has an area of 121 square centimetres.
What is its perimeter?

Answer 1

44 cm

Explanation:

Finding Side Length

• Area = (Side length)²
• Take the square root on each side
• Side length = √121
• Side length = 11 cm

Perimeter

• A square has 4 sides
• Therefore, the perimeter is 4 times the side length
• 4 × 11
• 44 cm

Answer 2

44 cm

Explanation:

The area of a square is the square of the side length. This means the side length is the square root of the area.

s = √A = √(121 cm²) = 11 cm

The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:

P = 4s = 4(11 cm)

P = 44 cm

The perimeter of the square is 44 cm.