Perimeter of Square
Total covering or outer length of a closed plane figure is
called the perimeter of the figure. A square is a quadrilateral or a four sided
plane figure having its all sides equal and each angle 90°. Therefore the sum
of the lengths of all four sides of a square is the perimeter of square.
In a square, all four sides are equal and the measure of the
side is taken as the length(l) of the square. In the given figure; ABCD is a square
and AB, BC, CD and AD are its four equal sides.
Length of the square ABCD = AB = BC = CD = AD = l
Perimeter of the square ABCD = AB+BC+CD+AD
= l + l + l + l
= 4l
Hence the perimeter of the square is given by the formula:
Perimeter
= 4l
Also, the length of diagonal of the square is given by
Workout Examples
Example 1: Find the perimeter of the given
plane figure.
Solution: Here,
The given figure is a square of
length (l) = 8cm
∴ Perimeter = 4l
= 4 × 8cm
=
32cm
Example 2: A square garden is 35m long,
calculate: (a) Perimeter of the garden. (b) The length of the rope required to
surround it to 5 times.
Solution: Here,
The length of the square garden (l) =
35cm
∴ Perimeter of the garden = 4l
=
4 × 35m
=
140cm
Length of rope required to surround 5
times = 5 × perimeter of garden
= 5 × 140m
= 700m
You can comment your questions or problems regarding the perimeter of square here.
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