A-2-3-rectangle-and-a-3-4-rectangle-are-contain-within-a-square-without-over-laping-at-any-inferior-point-and-the-sides-of-the-square-are-parallel-to-the-sides-of-the-two-given-rectangles-

Question Number 7519 by Tawakalitu. last updated on 01/Sep/16

A (2 \times 3) r e c t a n g l e a n d a (3 \times 4) r e c t a n g l e a r e c o n t a i n w i t h i n

a s q u a r e w i t h o u t o v e r l a p i n g a t a n y i n f e r i o r p o i n t, a n d t h e

s i d e s o f t h e s q u a r e a r e p a r a l l e l t o t h e s i d e s o f t h e t w o g i v e n

r e c t a n g l e s . w h a t i s t h e s m a l l e s t p o s s i b l e a r e a o f t h e s q u a r e .

Commented by Rasheed Soomro last updated on 02/Sep/16

25

Commented by Yozzia last updated on 02/Sep/16

I t h i n k 5^{2} a l s o .

Commented by Rasheed Soomro last updated on 02/Sep/16

S u m o f s m a l l e r s i d e s o f t h e r e c t a n g l e s

s h o u l d b e m e a s u r e o f t h e s i d e o f r e q u i r e d s q u a r e

(i n c a s e m a x i m u m o f b i g g e r s i d e s i s l e s s o r e q u a l

t o t h e m e n t i o n e d s u m)

S o i n t h i s c a s e 2 + 3 = 5 i s t h e m e a s u r e o f t h e s i d e

o f t h e s q u a r e .

H e n c e a r e a o f t h e s q u a r e i s o f c o u r s e 5^{2} = 25 .

Commented by Tawakalitu. last updated on 03/Sep/16

T h a n k s s o m u c h