How To Calculate The Length Of A Rectangle

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:

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

What are Length and Breadth:

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 $\div$ 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 $\div$ 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 $\div$2$-$breadth

• ${\rm{L}} = \frac{{\rm{P}}}{2} - {\rm{B}}$

• 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 $\div$2$-$length

• ${\rm{b}} = \frac{{\rm{p}}}{2} - {\rm{l}}$

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.