We are going to focus on

right here find out how to discover the perimeter of a rectangle.

We all know perimeter of a rectangle is the whole

size (distance) of the boundary of a rectangle.

In a rectangle we all know that two reverse sides are equal.

So, PQ = SR and PS = QR

If PS = l and PQ = b

Perimeter of the rectangle = PQ + QR + RS + SP

= b +l + b + l

= 2b +2l

Once more,

ABCD

is a rectangle. We all know that the other sides of a rectangle are equal.

AB = CD = 5 cm and BC = AD = 3 cm

So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm

It may be written as 5 cm + 5 cm + 3 cm + 3 cm

= (2 × 5) cm + (2 × 3) cm

= 2 (5 + 3) cm

= 2 × 8 cm

= 16 cm

We add size and breadth twice to search out the perimeter of a rectangle.

**Perimeter of a rectangle = 2 (size + breadth)**

A rectangle is a 4 sided determine wherein

● Reverse sides are equal in size.

● Longer facet is known as size and shorter facet is known as

breadth.

● All

angles are equal to 90° (proper angle).

Within the above determine ABCD is a rectangle.

Three kids discovered the perimeter of this rectangle in

three completely different strategies.

**1 ^{st} methodology:**

Perimeter = 6 cm + 4 cm + 6 cm + 4 cm =

20 cm

**2 ^{nd} methodology:**

Perimeter = (2 6 cm) + (2

4 cm) =

12 cm + 8 cm = 20 cm

**3 ^{rd} methodology:**

Perimeter = 2 (6 cm + 4 cm) =

2 cm × 10 cm = 20 cm

All of the three strategies gave them the identical reply.

*Perimeter of a rectangle = size + breadth + size + breadth*

* =
(2 size) + (2 breadth)*

* =
2 (size + breadth)*

Phrase Issues on Perimeter of a Rectangle:

Allow us to contemplate a few of the examples on perimeter of a rectangle:

**1.** The size of a rectangle is 4 cm and its breadth is 2 cm. Discover its perimeter.

**Answer:**

Size = 4 cm

Breadth = 2 cm

Due to this fact, perimeter of the rectangle

= 2 (size + breadth)

= 2 (4 + 2) cm

= 2 × 6 cm

= 12 cm

**2.** Discover the perimeter of the rectangle ABCD whose sides are 6 cm and 5 cm.

**Answer:**

The perimeter of the rectangle ABCD

= 6 cm + 5 cm + 6 cm + 5cm

= 22 cm

**3.** Discover the perimeter of a rectangle whose size is 12 cm and

breadth is 8 cm.

**Answer:**

Size = 12 cm

Breadth = 8 cm

Perimeter = 2 (size + breadth)

= 2 (12 cm + 8 cm)

= 2 × 20 cm

= 40 cm

**4.** An oblong swimming pool is 9 m lengthy and 4 m broad. Discover the world of the swimming pool.

**Answer:**

Size of the oblong swimming pool = 9 m

Breadth of the oblong swimming pool = 4 m

Due to this fact, perimeter of the rectangle swimming pool

= 2 (size + breadth)

= 2 (9 + 4) m

= 2 (13) m

= 2 × 13 m

= 26 m

**5.** The size of a rectangle is 4.5 m and the breadth is 1.5

m. Discover the perimeter.

**Answer:**

Size = 4.5 m

Breadth = 1.5 m

Perimeter = 2 (size + breadth)

= 2 × (4.5 m + 1.5 m)

= 2 × 6 m

= 12 m

Due to this fact, the perimeter is 12 m.

**6.** A rectangle show board is measuring 8 m by 6 m. Robert needs so as to add a ribbon border across the show board. What’s the size of ribbon that he’ll want? If the price of the ribbon is $ 15 per metre then how a lot cash does Robert wants to purchase the ribbon?

**Answer:**

Size of the show board = 8 m

Breadth of the show board = 6 m

Perimeter of the show board = 2(Size + Breadth)

= 2(8 + 6) m

= 2 × 14 m

= 28 m.

Value of ribbon is $15 per metre.

Due to this fact, whole price for 28 m lengthy ribbon = $15 × 28

= $420.

Questions and Solutions on Perimeter of a Rectangle:

**1. Discover the perimeter of the rectangles having measurements
as follows.**

(i) size = 11 cm breadth = 9 cm

(ii) size = 5 cm breadth = 2 cm

(iii) size = 10 cm breadth = 8 cm

(iv) size = 15 cm breadth = 2 cm

**Reply:**

**1. **(i) 40 cm

(ii) 14 cm

(iii) 36 cm

(iv) 34 cm

*Perimeter of a Rectangle Phrase Issues*

**2.** A rectangle has a fringe of 40 cm. If its size is 8

cm, what’s its breath?

**Reply:**

**2.** 12 cm

**3.** Sam is working round an oblong park of size 450 m

and breadth 300 m. Discover the whole distance lined by him if he takes 10 rounds

of the park.

**Reply:**

**3.** 15000 m

**4.** A gardener needs to fence its rectangular backyard with a

wire. The size and breadth of the backyard is 25 m and 16 m respectively. Discover

the size of the wire he should purchase.

**Reply:**

**4.** 82 m

**● ****Associated Ideas**

**● ****To
Measure the Size of a Line-segment**

**● ****Examples
on Unit of Mass or Weight**

**● ****Items
for The Measurement of Capability**

**● ****Examples
on Measurement of Capability**

**● ****Antemeridian
(a.m.) or Postmeridian (p.m.)**

**● ****Calendar**

**● ****Studying
and Deciphering a Calendar**

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