Mapel : Matematika Kelas : VII SMP Bab : Bangun datar
Pembahasan : Misalkan CE = EF = FD = AE = EG = x
AC = 18 AC = 18 √[AE² + EC²] = 18 √[x² + x²] = 18 2x² = 324 x² = 162 x = 9√2 cm
Luas Bangun = Luas Trap + Luas Persegi Luas Bangun = [(27√2 + 9√2)/2 x 9√2] + (9√2)² Luas Bangun = [(36√2)/2 . 9√2] + 162 Luas Bangun = (18√2 . 9√2) + 162 Luas Bangun = 324 + 162 Luas Bangun = 486 cm²
Verified answer
Mapel : MatematikaKelas : VII SMP
Bab : Bangun datar
Pembahasan :
Misalkan CE = EF = FD = AE = EG = x
AC = 18
AC = 18
√[AE² + EC²] = 18
√[x² + x²] = 18
2x² = 324
x² = 162
x = 9√2 cm
Luas Bangun = Luas Trap + Luas Persegi
Luas Bangun = [(27√2 + 9√2)/2 x 9√2] + (9√2)²
Luas Bangun = [(36√2)/2 . 9√2] + 162
Luas Bangun = (18√2 . 9√2) + 162
Luas Bangun = 324 + 162
Luas Bangun = 486 cm²