Penjelasan: Diketahui: Keliling belah ketupat (K) = 100 cm
sisi belah ketupat (m) m = K/4 = 100/4 --> m = 25 cm Diagonal a = 30 cm --> a = 30 cm
Ditanya luas (L) Cari diagonal b b = 2×√(m²-(a/2)²) b = 2×√(25²-(30/2)²) b = 2×√(25²-15²) b = 2×√((25-15)×(25+15)) b = 2×√(10×40) b = 2×√400 b = 2×20 b = 40 cm
Luas (L) L = (a×b)/2 L = (30×40)/2 L = 30×20 L = 600 cm² Luas = 600 cm²
Jawab:
Luas = 600 cm²
Penjelasan:
Diketahui:
Keliling belah ketupat (K) = 100 cm
sisi belah ketupat (m)
m = K/4 = 100/4
--> m = 25 cm
Diagonal a = 30 cm
--> a = 30 cm
Ditanya luas (L)
Cari diagonal b
b = 2×√(m²-(a/2)²)
b = 2×√(25²-(30/2)²)
b = 2×√(25²-15²)
b = 2×√((25-15)×(25+15))
b = 2×√(10×40)
b = 2×√400
b = 2×20
b = 40 cm
Luas (L)
L = (a×b)/2
L = (30×40)/2
L = 30×20
L = 600 cm²
Luas = 600 cm²
( x c v i )