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Difficulty: EasyPerimeter and Area of 2D Figures

The perimeter of a square courtyard is 3636 meters. What is the area of the courtyard, in square meters?

Answer: 81 square meters

Answer

81
A square has four sides of equal length. Given a perimeter of 3636 meters, each side measures 36÷4=936 \div 4 = 9 meters. The area of a square is its side length squared, which is 92=819^2 = 81 square meters.

Step-by-Step Solution

1
Find the length of one side of the square.
36÷4=936 \div 4 = 9 meters.
The perimeter of a square is the sum of its four equal sides, so dividing the total perimeter by 4 gives the length of a single side.
2
Calculate the area of the square.
9×9=819 \times 9 = 81 square meters.
The area of a square is calculated by squaring the length of one of its sides (A=s2A = s^2).

Key Concept

Perimeter and Area of 2D Figures
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Perimeter and Area of 2D Figures

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