# 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.

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