A-1m-2-rectangle-which-length-is-less-than-1-is-a-square-Why-

Question Number 194796 by sniper237 last updated on 15/Jul/23

A 1 m^{2} r e c t a n g l e w h i c h l e n g t h i s

l e s s t h a n 1 i s a s q u a r e . W h y ?

Answered by Frix last updated on 15/Jul/23

{It}^{'} s obviously false

l \times w = 1

w = \frac{1}{l}; 0 < l < 1 \Rightarrow w > 1

\Rightarrow l \neq w \Rightarrow {it}^{'} s n o t a square

Commented by sniper237 last updated on 15/Jul/23

0 < w ⩽ l ⩽ 1 . S o w ⩽ 1 a n d \frac{1}{w} = l ⩽ 1

h e n c e 1 ⩽ w ⩽ 1, i e w = 1 a n d l = 1

Commented by Frix last updated on 15/Jul/23

But now l = 1 and you stated “ l is less than

1^{″} \Leftrightarrow l < 1

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