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 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 \dots 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!