- 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

# Find the length of a side of a square playground whose area is equal to the area of a rectangular field of dimensions 72 m and 338 m.

Given:

The area of a square playground is equal to the area of a rectangular field of dimensions 72 m and 338 m.

To do:

We have to find the length of the side of the square playground.

Solution:

Length of rectangular field $(l) = 338\ m$

Breadth of the rectangular field $(b) = 72\ m$

Area of the rectangular field $= l \times b$

$= 338 \times 72\ m^2$

This implies,

Area of the square playground $= 338 \times 72\ m^2$

$= 24336\ m^2$

Therefore,

Side of the square playground $=\sqrt{\text { Area }}$

$=\sqrt{24336}$

Square root of 24336 is,

156 | |

1 | 24336 1 |

25 | 143 125 |

306 | 1836 1836 |

0 |

Hence, the length of the side of the square playground is $156\ m$.

- Related Articles
- The area of a square field is $5184\ m^2$. A rectangular field, whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
- Find the length of a side of a square, whose area is equal to the area to the rectangle with sides 240 m and 70 m.
- The area of a square field is \( 576 \mathrm{~m}^{2} \), A rectangular field whose length is twice its breadth has its perimeter equal to the perimeter of the square field. Find the area of the rectangular field.
- The area of a square playground is 256.6404 square metres. Find the length of one side of the playground.
- The area of a square field is $325\ m^2$. Find the approximate length of one side of the field.
- A cow is tied with a rope of length $14\ m$ at the corner of a rectangular field of dimensions $20\ m \times 16\ m$, find the area of the field in which the cow can graze.
- The area of a square field is $30\frac{1}{4}\ m^2$. Calculate the length of the side of the square.
- The area of a rectangular field whose length is twice its breadth is 2450 square meter. Find the perimeter of the field.
- A cow is tied with a rope of length $14\ m$ at the corner of a rectangular field of dimensions $20\ m\times 16\ m$, then find the area of the field in which the cow can graze.
- Find the area of a square park whose perimeter is $320\ m$.
- The length and breadth of a rectangular field are 25 m and 10 m respectively. Find the area of the field and cost of leveling the field at Rs. 50 per square metre.
- The length and breadth of a rectangle field is 21 m and 5 m respectively. Find the area of the rectangle field.
- The perimeter of a rectangular field is 82 m and its area is $400\ m^2$. Find the breadth of the rectangle.
- The area of a rectangular field is $720\ m^2$, if its width is $18\ m$ what is its length?
- The area of a square field is $80\frac{244}{729}$ square metres. Find the length of each side of the field.

Advertisements