Perimeter of parallelogram:-
Today in this article, I will explain on the topic perimeter of parallelogram.To start writing on perimeter of parallelogram I want to explain you ,
What is perimeter of a shape?
Answer:- In one word, perimeter means the total length of whole fence of a closed shape or a open shaped body either it may be two dimensional (triangle,rectangle etc) or three dimensional (cuboid,cube etc.)
What is the perimeter of a parallelogram?
Answer:- We know that perimeter of a quadrilateral is the sum of its all four sides,so parallelogram is also a quadrilateral. Therefore, its perimeter will also be the sum of its all four sides,but opposite sides of a parallelogram are equal,so perimeter of a parallelogram will be,
= 2(b+l)
where, b= length of the base side of the parallelogram
l = length of the adjacent side of the base side.
Problems related on the perimeter of a parallelogram.:-
(1) The length of base side of a parallelogram is 20 cm and its adjacent side is 15 cm,then find its perimeter.
Answer:-
∵ The length of base side of a parallelogram (b) = 20 cm
length of adjacent side(l) = 15 cm
∴ Perimeter of the parallelogram = 2(l+b)
= 2(15+20)cm
= 2× 35 cm
= 70 cm
(2)The length of adjacent side of a parallelogram is 10cm , perimeter of the parallelogram 50cm; find its base side.
Answer:- ∵ The length of adjacent side of parallelogram(b) = 10 cm
Perimeter of the parallelogram = 50 cm
Let, its base side = l cm
A/Q,
2(l+b) = 50
=> l+b = 50/2
=> l + 10 = 25
=> l = 25 - 10
=> l = 15
∴ length of the base side = 15 cm.
(3) The length of base side of a parallelogram is 25cm ,perimeter of the parallelogram is 70cm; find its adjacent side.
Answer:- Here,
Length of base side of a parallelogram(b) = 25cm
Perimeter of the parallelogram = 70 cm
Let the length of adjacent side = b cm
Now,
A/Q
∵ 2 (l+b) = 70
=>25+b = 70/2
=>b+ 25 = 35
=> b = 35-25
=>b =10
∴The length of the adjacent side = b = 10 cm
****ADVISE:- Students are advised to do their home work problems related on perimeter of parallelogram using above method after realising the process completely.
FREQUENTLY ASKED QUESTIONS:-
What is the perimeter of a rectangle ?
Answer:- The perimeter of a rectangle = 2(l+b) where, l = length of the rectangle
b = breadth of the rectangle.
what is perimeter of a quadrilateral?
Answer:- Perimeter of a Quadrilateral=a+b+c+d, where, a,b ,c and d are four different sides of quadrilateral
what is the perimeter of a square?
Answer:- The perimeter of a square = a+b+c+d, where a,b ,c and d are the sides of quadrilateral,∵ square has all sides equal,i,e; a=b==c=d so its actual perimeter=4×a, where a = measure of each side of the square.
What is the perimeter of a circle?
Answer:- The perimeter of a circle = 2πr
where, r = radius of the circle.
what is the semi/half perimeter of a circle ?
Answer :- The semi/half perimeter of a circle = ½ × 2πr
= πr
What is the perimeter of a trapezium ?
.
Answer:-
perimeter of a trapezium = sum of its four sides.
What is the perimeter of a rectangle ?
Answer:- The perimeter of a rectangle = 2(l+b) where, l = length of the rectangle b = breadth of the rectangle.
what is perimeter of a quadrilateral?
Answer:- Perimeter of a Quadrilateral=a+b+c+d, where, a,b ,c and d are four different sides of quadrilateral
what is the perimeter of a square?
Answer:- The perimeter of a square = a+b+c+d, where a,b ,c and d are the sides of quadrilateral,∵ square has all sides equal,i,e; a=b==c=d so its actual perimeter=4×a, where a = measure of each side of the square.
What is the perimeter of a circle?
Answer:- The perimeter of a circle = 2πr where, r = radius of the circle.
what is the semi/half perimeter of a circle ?
Answer :- The semi/half perimeter of a circle = ½ × 2πr = πr
What is the perimeter of a trapezium ?
. Answer:- perimeter of a trapezium = sum of its four sides.