If the perimeter of a rectangle is a 2−digit number which unit digitL and tens digit represents its length and breadth respectively.Find its area in constant.


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 50744 by Necxx last updated on 19/Dec/18

$I f t h e p e r i m e t e r o f a r e c t a n g l e i s$ $a 2 - d i g i t n u m b e r w h i c h u n i t d i g i t L$ $a n d t e n s d i g i t r e p r e s e n t s i t s l e n g t h$ $a n d b r e a d t h r e s p e c t i v e l y . F i n d i t s$ $a r e a i n c o n s t a n t .$
	Answered by Rasheed.Sindhi last updated on 19/Dec/18

	$L e t u & v a r e l e n g t h & b r e a d t h r e s p e c t i v e l y .$ $∴ T h e p e r i m e t e r i s 10 v + u .$ $I n a n o t h e r w a y t h i s p e r i m e t e r = 2 u + 2 v$ $∴ 10 v + u = 2 u + 2 v$ $8 v = u$ $A s 1 ⩽ u, v ⩽ 9 (a n y o f d i m e n s i o n$ ${c a n}^{'} t b e z e r o)$ $H e n c e v (b r e) = 1 & u (l e n) = 8$ $(F o r v > 1 \Rightarrow u > 9 i - e n o t a s i n g l e d i g i t .$ $I - E u i s s i n g l e d i g i t o n l y w h e n v = 1)$ $P e r i m e t e r : 18, A r e a : 8$
	Commented by Necxx last updated on 19/Dec/18

	$w o w . . . m r R a s h e e d s i n d h i w e l c o m e$ $a n d t h a n k s f o r h e l p i n g .$
	Commented by Rasheed.Sindhi last updated on 20/Dec/18

	$θ a n k s S i r! H a p p y t o s e e t h a t {y o u}^{'} v e$ $n o t f o r g o t t e n o l d f r i e n d s!$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum