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Matematika
risydaa
Pertanyaan
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2 Jawaban
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1. Jawaban arsetpopeye
Misal sisi persegi OCDE = x
OC = OE = ED = DC = x
OB = 6 => BE = 6 - x
Dengan kesebangunan
ED/OA = BE/BO
x/12 = (6 - x)/6
6x = 12(6 - x)
6x = 72 - 12x
18x = 72
x = 4
Luas OCDE = x . x = 4 . 4 = 16 cm^2 -
2. Jawaban Anonyme
Kesebangunan.
OC = CD = DE = OE = a
OA / ED = OB / BE
OA / a = OB / (OB - a)
(OB - a) / a = OB / OA
(6 - a) / a = 6 / 12
(6 - a) / a = 1 / 2
a = 12 - 2a → a = 4 cm
L OCDE = (4 cm)² = 16 cm²