Question

The perimeter of a square is 4cm.
Work out the area of the square.

Answer 1

• Area = 1 cm²

Explanation:

We know that:

• 4(s) = Perimeter of square
• Area = s²

Solution:

• 4(s) = Perimeter of square
• => 4(s) = 4
• => s = 4/4
• => s = 1 cm
• => Area = s²
• => Area = 1²
• => Area = 1 cm²

Hence, the area of the square is 1 cm².

Answer 2

A(square) = 1 cm²

Explanation:

A square, by definition, has 4 congruent sides, meaning that the measurements will be the same.

A Perimeter is the addition of all sides of the given shape. Therefore each side is 1 cm.

Total Perimeter: 4 = 1 + 1 + 1 + 1

Next, find the area of the square. Area of Square =

A(square) = s²

A = area of square

s = side measurement = 1 cm.

Plug in 1 for s in the equation:

A(square) = s²

A(square) = 1² = 1

A(square) = 1 cm² is your answer.

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