Rectangle Length Formula with Solved Examples
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
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 - 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
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
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 a Rectangle Easily
1. What is the formula to find the length of a rectangle?
The formula to find the length of a rectangle depends on the information given. If the area and width are known, use $\text{Length} = \frac{\text{Area}}{\text{Width}}$. This equation helps you determine the missing length when other rectangle dimensions are available.
2. How do you calculate the length of a rectangle if you know its perimeter and width?
Given the perimeter and width, first recall the perimeter formula $\text{Perimeter} = 2 \times (\text{Length} + \text{Width})$. Rearrange to find length: $\text{Length} = \frac{\text{Perimeter}}{2} - \text{Width}$, using the known perimeter and width values.
3. Can you find the length of a rectangle if only the area and the width are known?
Yes, to find the length of a rectangle when area and width are known, divide area by width: $\text{Length} = \frac{\text{Area}}{\text{Width}}$. This calculation gives the rectangle’s missing side using basic multiplication and division.
4. What units are used to express the length of a rectangle?
The length of a rectangle is expressed in linear units such as
- meters
- centimeters
- inches
- feet
5. How do you use the diagonal to find the length of a rectangle?
If the diagonal and width are known, use the Pythagorean theorem: $\text{Diagonal}^2 = \text{Length}^2 + \text{Width}^2$. Solve for length: $\text{Length} = \sqrt{\text{Diagonal}^2 - \text{Width}^2}$ to find the rectangle’s length.
6. Is the length of a rectangle always the longer side?
In most cases, the length refers to the longest side of a rectangle, and the shorter side is called the width. However, definitions can vary, so always check how length and width are labeled in your problem.
7. Why is knowing the length of a rectangle important?
Knowing the length of a rectangle is vital for
- calculating area
- creating accurate designs
- measuring materials for construction
8. Can you find the length if only the perimeter is known?
No, if you only know the perimeter, you cannot find the length of a rectangle without also knowing the width or area. At least one more dimension is required to calculate the exact length value.
9. What is an example of finding the length of a rectangle using area and width?
Suppose a rectangle's area is $60\ \text{cm}^2$ and its width is $5\ \text{cm}$. Use $\text{Length} = \frac{60}{5} = 12\ \text{cm}$. This method lets you quickly find length with simple division.
10. How does the length of a rectangle affect its area?
The area of a rectangle is calculated as $\text{Area} = \text{Length} \times \text{Width}$. As the length increases while width stays constant, the area increases as well, making length a key factor in determining overall space.
