Te kimi i te paenga o te tapawha: te tauira me nga mahi

I roto i tenei whakaputanga, ka whakaaro tatou me pehea te tatau i te paenga o te tapawha me te tātari i nga tauira o te whakaoti rapanga.

Tātai Perimeter

Ma te taha roa

Paenga (P) o te tapawha he rite ki te tapeke o nga roa o ona taha.

P = a + a + a + a

I te mea he rite nga taha katoa o te tapawha, ka taea te whakaatu te tauira hei hua:

P = 4 ⋅ a

Kei te roa o te hauroki

He rite te paenga (P) o te tapawha ki te hua o te roa o tona hauroki me te nama 2√2:

P = d ⋅ 2√2

Ka whai tenei tauira i te ōwehenga o te roa o te taha (a) me te hauroki (d) o te tapawha:

d = a√2.

He tauira mahi

Tūmahi 1

Kimihia te paenga o te tapawha mena he 6 cm tona taha.

Te whakatau:

Ka whakamahia e matou te tauira e uru ana te uara o te taha:

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

Tūmahi 2

Kimihia te paenga o te tapawha ko te √ te hauroki2 kite

1 Rongoā:

Ma te whakaaro ki te uara e mohiotia ana e matou, ka whakamahia e matou te tauira tuarua:

P = √2 cm ⋅ 2√2 = 4cm.

2 Rongoā:

Whakaaturia te roa o te taha i runga i te hauroki:

a = d / √2 = √2 cm/√2 = 1cm.

Na, ma te whakamahi i te tauira tuatahi, ka whiwhi tatou:

P = 4 ⋅ 1 cm = 4 cm.