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Problemele 24,25,26 va rog!!!Ofer 20 puncte​

Problemele 242526 Va RogOfer 20 Puncte class=

Răspuns :

24) Fie [tex]l[/tex] lungimea initiala a zidului si [tex]L[/tex] lungimea actuala a zidului. Avem ca [tex]L:l=3\text{ rest }2140[/tex].

[tex]L=l+14844\\L:l=3\text{ rest }2140\Rightarrow L=3l+2140\\3l+2140=l+14844\\2l=14844-2140\\2l=12704\\l=12704:2\\l=6352\\L=l+14844=6352+14844=21196\text{ km}[/tex]

25) Fie [tex]L[/tex] lungimea marii si [tex]l[/tex] latimea marii.

[tex]P=192\\L=5l\\P=2(l+L)\\192=2(l+5l)\\6l=192:2\\6l=96\\l=96:6\\l=16\text{ km}\\L=5l=5\cdot16=80\text{ km}[/tex]

26) Fie [tex]l[/tex] latimea, [tex]L[/tex] lungimea si [tex]a[/tex] adangimea.

[tex]L=460\text{ km}\\l=11a\\l-a=20\\11a-a=20\\10a=20\\a=20:10\\a=2\\l=11a=11\cdot10=110\text{ km}\\L:l=460:110=4\text{ rest }20[/tex]