- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Half the perimeter of a garden whose length is 4 m more than its width is 36 m. Find the dimensions of the garden.

Given :

Half the perimeter of a garden whose length is 4 m more than its width is 36 m.

**To do:**

We have to find the dimensions of the garden.

Solution :

Perimeter of a rectangle of length $l$ and breadth $b = 2 (l + b)$.

Let the length of the rectangle be $l$ and the width of the rectangle be $b$.

Therefore,

Half the perimeter of rectangle $=\frac{2\ ( l\ +\ b)}{2}$

Half the perimeter of rectangle $=l+b$.

Given that half the perimeter of the rectangular garden $= 36\ m$.

$l+b=36\ m$......(i)

It is given that, length of the rectangular garden is 4 m more than its width.

This implies,

$l = b + 4$.......(ii)

Substituting (ii) in (i), we get,

$b + 4 + b = 36$

$2b = 36 - 4$

$2b = 32$

$b =\frac{32}{2}$

$b = 16\ m$

Substitute $b = 16$ in (ii)

$l = 16 + 4$

$l = 20\ m$

Therefore, the length of the rectangular garden is $20\ m$ and the width of the rectangular garden is $16\ m$.

- Related Articles
- Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.
- Half the perimeter of a rectangular garden whose length is 4 m more than its width is 36 m. What are the dimensions of the garden?
- The area of a rectangular garden \( 50 \mathrm{~m} \) long is $300\ sq.\ m$. Find the width of the garden.
- The length of a rectangle exceeds its width by 6 m. If its perimeter is 44 m, find its dimensions.
- The area of a \( 60 \mathrm{~m} \) long rectangular garden is \( 300 \mathrm{sq} . \mathrm{m} \). Find the width of the garden.
- The area of a \( 50 \mathrm{~m} \) long rectangular garden is \( 300 \mathrm{sq} . \mathrm{m} \). Find the width of the garden.
- The length of a rectangle exceeds its width by 3 m. If the width is increased by 4 m and the length is decreased by 6 m, the area is decreased by 22 sq. m. Find the dimensions of the rectangle.
- The perimeter of a rectangular swimming pool is \( 154 \mathrm{~m} \). Its length is \( 2 \mathrm{~m} \) more than twice its breadth. What are the length and the breadth of the pool?
- A garden is $90\ m$ long and $75\ m$ broad. A path $5\ m$ wide is to be built outside and around it. Find the area of the path. Also find the area of the garden in hectare.
- The length of rectangle is $25\ m$ and width of rectangle is $56\ cm$ find the perimeter of rectangle.
- Find the area of a rhombus whose perimeter is $80\ m$ and one of whose diagonal is $24\ m$.
- The area of a rectangular field is $720\ m^2$, if its width is $18\ m$ what is its length?
- Find the breadth of a rectangular plot of land, if its area is $440\ m^2$ and the length is $22\ m$. Also find its perimeter.
- The ratio of the length to its width of a park is 5:2. If the width of the park is 14 m, what is its length?
- The perimeter of a rhombus is $56\ m$ and its height is $5\ m$. Find its area.