The perimeter of the square is 28 cm. Find the length of one side and the area.

| February 9, 2021 | education

1) Find the length of the side of the square.
A square is a quadrangle in which all sides are equal and the corners are straight.
The perimeter of any geometric shape is the sum of the lengths of all its sides. Let’s write the formula for the perimeter of the square:
P = 4 × a,
where P is the perimeter and a is the side length of the square.
From the formula for the perimeter of a square, we express its side:
a = P: 4.
Calculate the side of the square by substituting the perimeter value in the formula:
a = 28: 4 = 7 cm.
2) Find the area of ​​the square.
Let’s write the formula for the area of ​​a square:
S = a²,
We calculate the area by substituting the value of the side of the square into the formula:
S = 7² = 49 cm².
Answer: The side of the square is 7 cm, and the area is 49 cm².



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