A 1m^2 rectangle which length is less than 1 is a square. Why?


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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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