Como Calcular El Area y Perimetro

 

ºS[K K] ^KTÈHK\TJ: U ºÃTKC: ºÃTKC: 

^krèhktrj ojs djrlks lk muclrclj y Ãrkc ko eftkrejr

 ^KTÈHK\TJ sjf oc suhc lk ojs ocljs quk helc ko treãfauoj. treãfauoj.

 Ko ãrkc ks oc dcsk lk ksk treãfauoj sk huopoemc pjr b,quk ks oc coturc. U ufc mjf ko rksuotclj lclj sk levelk sekhprk kftrk 4.  4. Ks oc hklelc hklelc   lk oc rkaeýf j s u p krgmek  krgmek   kfmkrrclc pjr lk ufc g a u r c akjhåtremc pocfc . ; Mh lk oclj ^KTÈHK\TJ ]KTÃ < R;84> U KO ÃTKC ;MH KOKWCLJ KOKWCLJ CO M[CLTCLJ ]KTÃ 8 4; Wkchjs0 supkrgmek ks oc hklelc (hktrjs muclrcljs) lk ufc lk ocs mcrcs lk ufc gaurc9 ãrkc ks oc suhc lk ocs supkrgmeks lk tjlcs ocs mcrcs lk ufc gaurc. ^jr tcftj, kf ufc gaurc kf ljs lehkfsejfks skrã oj heshj mcomuocr su supkrgmek quk su ãrkc.

treãfauoj  Ãrkc lk uf treãfauoj

K`khpoj Bcoocr ko Bcoocr  ko ãrkc ãrkc lko  lko seauekftk treãfauoj treãfauoj00

\chdeåf puklks uoezcr ko tkjrkhc lk petcajrcs se mjfjmks oc ojfaetul lk uf oclj, clkhãs lk oc ojfaetul lk oc bepjtkfusc. Oc bepjtkfusc ks ko oclj hãs ocraj lk uf treãfauoj rkmtãfauoj y ks jpukstj co ãfauoj rkmtj C´(oclj 3)+D´(oclj 4)8M´(bepjtkfusc) ]e scdks quk oc bepjtkfusc ks ; mh y quk oc dcsk ks < mh, uoezc ko tkjrkhc lk ^etãajrcs pcrc kfmjftrcr oc coturc0 c´+R3/<

K`khpoj Mcomuocr ko Mcomuocr  ko ãrkc ãrkc lk  lk uf muclrclj muclrclj lk  lk ; mh lk oclj.

]e sk mjfjmk sjoj oc lecajfco lk uf muclrclj sk puklk mcomuocr su crkc mjf oc gjrhuoc+ C8L´/4

C 8 ; 4 8 4; mh4

 Ãrkc lk uf rrkmtãfauoj kmtãfauoj

Ko tkjrkhc lk ^etãajrcs ks ufc gýrhuoc pcrc kfmjftrcr ko tkrmkr oclj lk uf trecfauoj rkmtãfauoj se mjfjmks ko vcojr lk ojs jtrjs ljs. ]u gjrhuoc ks C´(Ocraj)+D´(cfmbj)8M´(bepjtkfusc) C´(Ocraj)+D´(cfmbj)8M´(bepjtkfusc)

K`khpoj Mcomuocr ko Mcomuocr  ko ãrkc ãrkc lk  lk uf rkmtãfauoj rkmtãfauoj lk  lk 3> mh lk dcsk y 7 mh lk coturc.

Ãrkc lko mermuoj

 

 C 8 3> ± 7 8 7> 7> mh4

Ko crkc lko mermuoj tchdeåf sk puklk kfmjftrcr mjf oc jrhuoc C8й(pe8=.3 y 37 mh, y su oclj oclj helk  helk 31 mh.

 Ãrkc lko rj rjhdjelk hdjelk j pcrcokojar pcrcokojarchj chj

C8d±b K`khpoj Mcomuocr ko Mcomuocr  ko ãrkc ãrkc lk  lk uf rjhdjelk rjhdjelk lk  lk < y mh

Mcomuocr ko ãrkc lk uf bkxãajfj rkauocr efsmretj kf ufc mermufgkrkfmec lk < mh lk rclej.

^ 8 7 ± < 8 4< mh

 Ãrkc lk uf pjoèajfj pjoèajfj

Ko ãrkc sk jdkfk trecfauocflj ko pjoèajfj y suhcflj ko ãrkc lk lembjs treãfauojs.

 C 8 \ 3 + \ 4 + \ = + \ < K`khpoj Mcomuocr ko Mcomuocr  ko ãrkc ãrkc lko  lko seauekftk pjoèajfj pjoèajfj00

CL 8 DM9 CD 8 LM

Tjhdjelk

 

 C 8 C T + C \  C 8 33 ± 34 + (34 ± ; ) 0 4 8 374 mh4

Ãrkcs, ^krèhktrjs y Wjoðhkfks lk Geaurcs y Gjrhcs Akjhåtremcs

 

Jfoefk mcomuocljrcs pcrc scmcr ko vjouhkf lk ocs geaurcs akjhåtremcs Wjouhkf lko mudj

 

Ko vjouhkf lko mudj kquevcok c oc ojfaetul lk su mcrc c tkrmkrc pjtkfmec. Gjrhuoc vjouhkf lk mudj0 W 8 c= ljflk W c - ojfaetul lk oc mcrc lko mudj.

-

Wkc tchdeåf jfoefk mcomuocljrc pcrc scmcr vjouhkf lko mudj

Wjouhkf lk oc preshc

mudj

vjouhkf,

   

Ko vjouhkf lk oc preshc kquevcok c oc huotepoemcmeýf lko ãrkc lk oc dcsk kf oc coturc. Gjrhuoc vjouhkf lk preshc0 W 8 Cd b ljflk C d  -

W ãrkc

lk

ocs

preshc lk

dcsks

vjouhkf, preshc,

oc

b - ojfaetul lk oc coturc lk oc preshc. Jfoefk mcomuocljrc pcrc scmcr vjouhkf lko preshc

Ocs gýrhuocs lko ãrkc lk ocs geaurcs akjhåtremcs pcrc mcomuocr ko ãrkc lk oc dcsk lk ufc preshc

Wjouhkf lko pcrcokokpèpklj

Wjouhkf lko pcrcokokpèpkljkquevcok c oc huotepoemcmeýf lko ãrkc lk oc dcsk pjr oc coturc. Gjrhuoc vjouhkf lk pcrcokokpèpklj0 W 8 Cd ± b ljflk C d  -

W ãrkc

lk

ocs

dcsks

pcrcokokpèpklj lk oc

b - ojfaetul lk oc coturc lk oc pcrcokokpèpklj. Wkc tchdeåf jfoefk mcomuocljrc pcrc scmcr vjouhkf lko pcrcokokpèpklj

Wjouhkf lko jrtjklrj

vjouhkf, pcrcokokpèpklj,

 

Jrtjklrj vjouhkf kquevcok c oc huotepoemcmeýf lk su ojfaetul, octetul y coturc. Gjrhuoc vjouhkf lk jrtjklrj0 W8c±d±b ljflk c  -

W

-

 d  b - coturc. Wkc tchdeåf jfoefk mcomuocljrc pcrc scmcr vjouhkf lko jrtjklrj

jrtjklrj

vjouhkf, ojfaetul, octetul,

Wjouhkf lk oc perãhelk

Ko vjouhkf lk oc perãhelk  kquevcok c oc tkrmkrc pcrtk lk oc huotepoemcmeýf lko ãrkc lk su dcsk kf oc coturc. Gjrhuoc vjouhkf lk perãhelk W8

3  C  ± b = d

   

ljflk C d  -

W ãrkc

lk

ocs

dcsks

perãhelk lk

oc

vjouhkf, perãhelk,

b - ojfaetul lk oc coturc lk oc perãhelk. Jfoefk mcomuocljrc pcrc scmcr vjouhkf lko perãhelk

Ocs gýrhuocs lko ãrkc lk ocs geaurcs akjhåtremcs pcrc mcomuocr ko ãrkc lk oc dcsk lk ufc preshc

Wjouhkf lko tktrcklrj rkauocr

Gjrhuoc vjouhkf lk tktrcklrj rkauocr0

W8

c=∐ 4

ljflk

34 W

-

tktrcklrj

c - ojfaetul lk oc crestc lko tktrcklrj rkauocr. Wkc tchdeåf jfoefk mcomuocljrc pcrc scmcr vjouhkf lko tktrcklrj rkauocr

Wjouhkf lko meoeflrj

rkauocr

vjouhkf,

 

Ko vjouhkf lko meoeflrj kquevcok c oc huotepoemcmeýf lko ãrkc lk su dcsk pjr oc coturc. Gjrhuoc vjouhkf lk meoeflrj0 4  

ljflk C d  -

W 8 ώ T  b W8C d b W ãrkc

lk

ocs

dcsks

T   rclej lk b  ojfaetul lk oc coturc ώ 8 =.3