Question

A floor mat of dimensions 459cm and 355cm was cut into square shaped door mats and it was seen that a piece of 9cm by 5cm is left. What is the maximum length of door mat?

Answer 1

Given :    A floor mat of dimensions 459cm and 355cm was cut into square shaped door mats and it was seen that a piece of 9cm by 5cm is left.  

To find : maximum length of door mat

Solution:

459   - 9   = 450

355 - 5  = 350

Lets find HCF of 450 & 350

450 = 2 * 3 * 3 * 5 * 5

350 = 2 *  5 * 5  * 7  

HCF = 5 * 5  = 25

maximum length of door mat  = 25 cm

Learn More:

5. On a school trip, 56 girls and 98 boys went to Kanyakumari. They ...

https://brainly.in/question/13732709

using repeated division method find hcf of 392 and 256​ - Brainly.in

https://brainly.in/question/13801774

Answer 2

$\bf{\underline{\underline{\bigstar \: Figure : }}}$

$\:\:$

$\setlength{\unitlength}{1.6mm}\begin{picture}(5,6)\put(0,25){\line(1,0){35}}\put(0,0){\line(1,0){35}}\put(0,0){\line(0,1){25}}\put(35,0){\line(0,1){25}}\put(17,-2){459cm}\put(18,-2){}\put(35,15){355cm}\put(18,0){ }\end{picture}$

$\:\:$

$\bf{\underline{\underline{\bigstar \: Given : }}}$

$\:\:$

• $\footnotesize{\red{ Dimensions\: of\:door = 459cm \: and \: 355cm }}$
• $\footnotesize{\red{ Piece\: left = 9cm \: and \: 5cm }}$

$\:\:$

$\bf{\underline{\underline{\bigstar \: To\: Find : }}}$

$\:\:$

• $\footnotesize{\orange{ Maximum\: length\: of\:mat }}$

$\:\:$

$\bf{\underline{\underline{\bigstar \: Solution : }}}$

$\:\:$

$\green{\footnotesize{ Maximum\: length\: of\:mat = HCF\: of\: 459 - 9 cm \: and\:355 - 5cm }}$

$\footnotesize{\green{\implies Maximum\: length\: of\:mat = HCF\: of\: 450cm \: and\:350cm }}$

$\footnotesize{\green{\implies Maximum\: length\: of\:mat = 25cm }}$