Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

How to Find the Length of Rectangle

ffImage
Last updated date: 23rd May 2024
Total views: 153k
Views today: 4.53k
hightlight icon
highlight icon
highlight icon
share icon
copy icon

Introduction to Finding Length and Breadth

A rectangle could even be a closed 2-D shape, having four sides, four corners, and 4 proper angles [90°]. The rectangles are equal and parallel. Since a rectangle is a 2-D shape, it's characterized by two dimensions, length, and width. Length is the longer aspect of the rectangle and width is that of the shorter side. Examples of Rectangle:

  • Parks and Agriculture lands

  • Canvas

  • Tiles

  • Tables, etc.


Rectangle


Rectangle


Length and Breadth of Rectangle:

We know that a rectangle is a Polygon shape in which the opposite sides are parallel and equal to each other and all four angles are right angles.

  • The longer side of the rectangle is known as the length of the rectangle.

  • The shorter side of the rectangle is known as the breadth of the rectangle. Breadth is additionally referred to as the width of a rectangle.


Breadth of the Rectangle


Breadth of the Rectangle


What are Length and Breadth:

  • Length - The definition of length is the measurement or extent of anything from beginning to conclusion. To put it another way, it is the greater of the higher two or three dimensions of a geometric form or object. A rectangle, for instance, has length and breadth as its dimensions. Additionally, the length might be a quantity in the International System of Quantities with the dimension distance.


  • Breadth - A similar word to width is breadth. A thing's breadth is the distance between its facets and features. Often, this is a noun. When a verbal desire is categorical regarding an object's size, the term is employed. For instance, when someone asks about the width of something, they are actually referring to the measurement. Additionally, it can be utilized to capture a range or variation of something that cannot be quantified. This might be a special talent or area of knowledge that a person possesses.


Length of Rectangle Formula:

  • If we've area of a rectangle is A; the breadth of a rectangle is B and the length of the rectangle is  going to be  L; so


Length formula:

\[{\rm{L = }}\dfrac{{\rm{A}}}{{\rm{B}}}\]

Length \[ = \] Area \[ \div \] Breadth


  • If we've perimeter of a rectangle is P, the breadth of the rectangle be B, and the length of the rectangle will be L; so 


Length formula:

\[{\rm{L}} = \dfrac{{\rm{P}}}{2} - {\rm{B}}\]

Length = Perimeter ÷2 – Breadth


Breath of Rectangle Formula:

  • If we've area of a rectangle is A; the length of the rectangle be L and the breadth of the rectangle is  going to be  B; so

\[{\rm{B = }}\dfrac{{\rm{A}}}{{\rm{L}}}\]

Breadth \[ = \] Area \[ \div \] Length


  • If we've Perimeter  of the rectangle is P; the length of the rectangle is L and the breadth of the rectangle is going to be  B; so

\[{\rm{B}} = \dfrac{{\rm{P}}}{2} - {\rm{L}}\]

[Breadth = Perimeter ÷2 – Length]


How to Find Length and Breadth:

Find length and breadth when the area is given

Let’s discuss how to discover size or breadth when the vicinity of a rectangle is given.

  • Once we would like to locate the size of a rectangle we want to divide the place via breadth.

  • Length of a rectangle = Area ÷ breadth

  • l = A ÷ b

  • Similarly, once we would like to discover the breadth of a rectangle we want to divide the region by way of length.

  • The breadth of a rectangle = Area ÷ length

  • b = A ÷ l


Find length and breadth when the perimeter is given:

Let’s discuss the thanks to finding length or breadth when the perimeter of the Rectangle is given,

  • When we'd wish to find the length of a rectangle we need to subtract the breadth from the perimeter by 2

  • Length= Perimeter ÷2breadth

  • L=P2B

  • Similarly, then we'd wish to find the breadth of the rectangle. We need to subtract land from the perimeter divided by two.

  • Breadth =Perimeter ÷2length

  • b=p2l


Solved Examples

1. Find the length of the opposite side of the rectangle, the given area, and one of its sides. Rectangle area \[ = \]1575 sq m side 45m

Solution: Area of the rectangle=length× breadth\[ = \]1575sq.m

One side\[ = \]45m

1575\[ = \]length\[ \times \]45.

length \[ = \frac{{1575}}{{45}} = 35\]m

The length of his visit is 35m.


2. Find the breadth of the rectangle whose perimeter is 360 cm and whose breadth is 80 cm.

Solution: Perimeter of Rectangle=360cm

Breadth \[ = \] 80cm

Length \[ = \] Perimeter/2-breadth

\[ = \]\[\frac{{360}}{2} - 80\]

\[ = 180 - 80\]

\[ = 100\]cm

Lengths are 100cm.


3. Find the length of a rectangle whose perimeter is 20 cm and breadth is 1 cm.

Solution: Perimeter of Rectangle \[ = \]20cm

Breadth \[ = \]1cm

Length\[ = \]?

Length \[ = \]perimeter/2\[ - \]breadth 

\[ = \frac{{20}}{2} - 1\]

\[ = 10 - 1\]

\[ = \]9cm.

The length goes to be 9cm.


Summary

The rectangle is a quadrilateral that has 4 sides and 4 angles. The longer side of the rectangle is known as size and the Shorter side of the rectangle is referred to as Breadth. A rectangle is four-sided and all the internal angles are equal to 90 degrees. The length of the opposite sides of the rectangle is always equal to each other. If all the sides are equal then it is square.

FAQs on How to Find the Length of Rectangle

1. What's the definition of a Rectangle?

A figure surrounded by four sides during which the other sides are parallel and equal and each angle is a right angle is called a rectangle.

2. What are the properties of a rectangle?

Properties of Rectangle,

  • it's going to be a flat and closed shape.

  • it's  4 sides, 4 angles, and 4 corners (vertices).

  • it's  2 dimensions, namely, length and width.

  • Every angle of a rectangle measures 90°.

  • Opposite sides are equal and parallel.

3. What are the Different Geometric Shapes?

There are various geometrical closed shapes/figures that exist namely— circles, squares, rectangles, triangles, etc. Here, we have mainly focused on the understanding of the rectangle formula with some practical solved examples, its calculation, and units.

4. Can a square be called a rectangle?

A rectangle is a quadrilateral with all equal angles that are right angles. In addition to having all equal angles, a square also has all equal sides. As a result, a square is a subset of a rectangle. In other words, a rectangle can also be a square (when all sides are equal).

5. Which shape is both a rectangle and a square?

A square is a rectangle and a rhombus since it has the features of both a rectangle and a rhombus.