Advertisements

Area Calculation MCQ 7 (Number of tiles on an area)

Area Calculation MCQ 7: A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles all of the same size . Find the size of the largest tile also find the number of tiles

a) 430            b) 440          c) 450              d) 460

Solution:

 

 

We convert dimensions into centimeters as

3.78 m =378 cm = 2 × 3 × 3 × 3 × 7drawit diagram 18

5.25 m =525 cm = 5 × 5 × 3 × 7

Here common factors are 3 and 7

So, least common multiple (LCM) is  = 3 × 7 = 21

 

 

i-e 21cm is the biggest size tile’s one side, and since tiles are squares in shape same will be the other side of the biggest size tiles !

 

 

 

To find as how many tiles of 21 square meter will be required – we first calculate area of the courtyard and then divide it by area of one tile;

i-e

\[ Number Of Tiles = \frac{378\times 525}{21}=450 \]

 

 

 

So 450 tiles of 21 cm sides of a square shape will be required — option  c  is correct !

 

Digiprove sealCopyright secured by Digiprove © 2020
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  
  •  

You may submit a MCQ or maths problem with solution tips here in the comment box below! If you could not solve anyone, you may submit a MCQ or maths problem without solution as well. We will try our level best to solve it for you!

Your email address will not be published.

You may use these <abbr title="HyperText Markup Language">HTML</abbr> tags and attributes: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

All original content on these pages is fingerprinted and certified by Digiprove
Insert math as
Block
Inline
Additional settings
Formula color
Text color
#333333
Type math using LaTeX
Preview
\({}\)
Nothing to preview
Insert