Neka je
![ABCD](/media/m/9/c/e/9ce25711ba18d9663b73c3580de4bf5a.png)
pravokutnik takav da vrijedi
![|AB| = 2](/media/m/d/2/d/d2d5a122c1071b8f4907f852bf974c3b.png)
i
![|BC| = 1](/media/m/4/e/5/4e5a4afaae73d27d14f2d6f681470110.png)
i neka su
![E](/media/m/8/b/0/8b01e755d2253cb9a52f9e451d89ec11.png)
,
![F](/media/m/3/e/8/3e8bad5df716d332365fca76f53c1743.png)
,
![G](/media/m/f/e/b/feb7f8fc95cee3c3a479382202e06a86.png)
,
![H](/media/m/4/c/0/4c0872a89da410a25f00b86366efece7.png)
točke na stranicama
![AB](/media/m/5/2/9/5298bd9e7bc202ac21c423e51da3758e.png)
,
![BC](/media/m/5/0/0/5005d4d5eac1b420fbabb76c83fc63ad.png)
,
![CD](/media/m/8/9/5/895081147290365ccae028796608097d.png)
,
![DA](/media/m/a/0/8/a081cf3dbb7eaedd62ea487a4cd46956.png)
takve da je četverokut
![EFGH](/media/m/5/4/6/546f6a8c4c38499f3e56b70541e9470d.png)
romb. Dokažite da tada za površinu
![P](/media/m/9/6/8/968d210d037e7e95372de185e8fb8759.png)
romba
![EFGH](/media/m/5/4/6/546f6a8c4c38499f3e56b70541e9470d.png)
vrijedi
%V0
Neka je $ABCD$ pravokutnik takav da vrijedi $|AB| = 2$ i $|BC| = 1$ i neka su $E$, $F$, $G$, $H$ točke na stranicama $AB$, $BC$, $CD$, $DA$ takve da je četverokut $EFGH$ romb. Dokažite da tada za površinu $P$ romba $EFGH$ vrijedi $$ 1\leq P \leq \frac{5}{4}.$$