Question

Please help me. Thank yoooouuuuuu

Answer 1

AG² = FE² - (AE - GF)²
AG² = 10² - (12 - 6)²
AG² = 100 - 36
AG² = 64
AG = 8 cm

AD / AG = BC / EF
AD / 8 = 15/10
AD / 8 = 3/2
AD = 3/2 x 8
AD = 12 cm

CD / GF = BC / EF
CD / 6 = 3/2
CD = 3/2 x 6
CD = 9 cm

AB / AE = BC / EF
AB / 12 = 3/2
AB = 3/2x 12
AB = 18 cm

Luas ABCD
= 1/2 x (AB + CD) x AD
= 1/2 x (18 + 9) x 12
= 1/2 x 27 x 12
= 27 x 6
= 162 cm²