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

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****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.

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