Matematika

Pertanyaan

Ini gimana caranya ya,,, mentok
Ini gimana caranya ya,,, mentok

2 Jawaban

  • 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
  • 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