Perimeter of a Square
We know that the square is a plane
figure or two-dimensional figure. All the sides of a square are equal and all
the angles of a square measure 90°.
The perimeter of a closed
two-dimensional figure is the length of its boundary. The units of measurement
of perimeter are the same as that of length, i.e. cm, m or km.
To find the perimeter of a square,
we add the measures of all its sides.
Let we have to find the perimeter of a given square ABCD.
Perimeter of the square ABCD = AB + BC + CD + DA
= AB + AB + AB + AB
(Since, AB = BC = CD = DA)
= 4 AB
= 4 × side
Thus, the perimeter of a square
= 4 × side
If the length of each side of the
square is s, then
Perimeter
of a square = 4 × s
Perimeter of a Square Formula
Perimeter
of a square = 4 × s
Where s is the length of each
side of the square.
Perimeter of a Square Example
Example 1: Find
the perimeter of a square, whose each side measures 6.5 cm.
Solution: Given:
side of the square, s = 6.5 cm
Perimeter of a square = 4 × s
= 4 ×
6.5 cm
= 26 cm
Example 2: A
square plot is 75 m long. Find the length of the wire required to fence
all around it 4 times.
Solution: Given:
length of the square plot, s = 75 m
Length of the wire to fence it one
time = Perimeter of the square plot
= 4 × s
= 4 × 75 m
= 300 m
Length of the wire required to fence
the square plot 4 times = 4 × 300 m = 1200 m
Hence, the total length of the wire
required to fence the square plot is 1200 m.
Example 3: Aman takes 20 rounds of a square park which is 60 m long. Find
the total distance covered by him in kilometres.
Solution: Given: length of the park, s = 60 m
Distance covered by Aman
in 1 round = Perimeter of the park
= 4 × s
= 4 × 60 m
= 240 m
Total distance covered
by Aman in 20 rounds = 20 × 240 m = 4800 m
Thus, the total distance
covered in kilometres = 4800/1000 km
(Since 1 km = 1000 m)
= 4.8 km
Example 4: If the perimeter of a square field is 340 m, find the measure of
each side of the square field.
Solution: Given: perimeter of the square
field = 340 m
We know that,
Perimeter of a square = 4 × s
340 m = 4 × s
s = 340/4 = 85 m
Hence, the measure of
each side of the square field is 85 m.
Example 5: Each
side of a square photo frame measures 46 cm. If its border is 3 cm
wide, then find the perimeter of the
picture.
Solution: Given:
Side of the photo frame = 46 cm
Each side of the picture = 46 cm – (3
cm + 3 cm) = 40 cm
Thus, the perimeter of the picture = 4
× s
= 4 × 40
= 160 cm
Hence, the perimeter of the picture is 160 cm.