Nemo kewayen murabba'i: dabara da ayyuka

A cikin wannan ɗaba'ar, za mu yi la'akari da yadda za a lissafta kewayen murabba'i da kuma nazarin misalan warware matsalolin.

Formula kewaye

Ta gefen tsayin

kewaye (P) na murabba'i yana daidai da jimlar tsayin sassansa.

P = a + a + a + a

Tunda duk bangarorin murabba'i daidai suke, ana iya bayyana dabarar azaman samfur:

P = 4 a

Tare da tsawon diagonal

Kewaye (P) na murabba'i yayi daidai da samfurin tsayin diagonal ɗin sa da lamba 2√2:

P = d ⋅ 2√2

Wannan dabarar tana biye daga rabon tsayin gefen (a) da diagonal (d) na murabba'in:

d = a √2.

Misalan ayyuka

Aiki 1

Nemo kewayen murabba'i idan gefensa ya kai 6 cm.

Yanke shawara:

Muna amfani da dabarar da darajar gefe ta ƙunshi:

P = 6 cm + 6 cm + 6 cm + 6 cm = 4 ⋅ 6 cm = 24 cm.

Aiki 2

Nemo kewayen murabba'i wanda diagonal ɗinsa √2 gani

1 Magani:

Yin la'akari da ƙimar da muka sani, muna amfani da dabara ta biyu:

P = √2 cm ⋅ 2√2 = 4cm.

2 Magani:

Bayyana tsayin gefen bisa madaidaicin diagonal:

a = d / √2 = √2 cm / √2 = 1cm.

Yanzu, ta amfani da dabara ta farko, muna samun:

P = 4 ⋅ 1 cm = 4 cm.