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Among flat geometric shapes, the square is considered quite special. The formulas for calculating the area of a square, its perimeter... are easy to remember and can even be applied to many formulas of other shapes such as rectangles, quadrilaterals.... What is the most accurate definition of a square, and what is the standard formula for calculating the area of a square? Illustrated examples help you visualize and remember the formulas, which will be included in this article.
Formula for the area of a square.
HOW TO CALCULATE THE AREA OF A SQUARE
A square is a shape with 4 equal sides, 4 right angles. Therefore, the pairs of opposite sides of the square are parallel, and 2 adjacent sides are perpendicular to each other.
Area of a square formula: S = a2 (The area of a square is equal to the square of the length of one side)
Where S is the area (unit: m2, a is the length of one side). To help students remember more easily, here are 2 specific illustrated examples.
Example 1: Calculate the area of a square with a side length of 7 cm.
Solution:
The problem states that the length of one side is 7 cm. Applying the formula for the area of a square, we get: S = a2 = 72 = 49 cm2
Answer: 49 cm2
Example 2: Calculate the area of a square knowing the perimeter of the square is 24 cm.
Solution:
Given that the perimeter of the square is 24cm, from the formula for calculating the perimeter of a square, we can find the length of the square's side: P = 4 x a = 24 => a = 6 cm
Applying the formula for calculating the area of a square, we have: : A = a^2 = 6^2 = 36 cm^2
Answer: 36 cm^2
Apart from these two types of exercises, there are many other variations to apply the method of finding the area of a square. Depending on the problem conditions, you will have to find the length of the square's side in order to calculate the area.
Above is a post helping you review how to calculate the area of a square and specific examples. If you don't remember, save it to apply when doing math. Wish you all good studying.
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In addition, if you know how to calculate the area of a rectangle, you can also apply it to easily calculate the area of a square.
