Pertanyaan

Perhatikan gambar! Jika panjang BD = 12 cm, luas bangun AEBCD adalah ....

Perhatikan gambar!

Jika panjang BD = 12 cm, luas bangun AEBCD adalah ....

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

Maka luas AEBCD : Jawaban B

A C space equals space 2 space cross times square root of A B squared space minus space open parentheses 12 over 2 close parentheses squared end root A C space equals space 2 space cross times space square root of 10 squared space minus space 6 squared end root A C space equals space 2 space cross times space 8 A C space equals space 16 space c m

Maka luas AEBCD :

$L u a s space A E B C D space equals space 2 L u a s space B e l a h space K e t u p a t space plus space L u a s space increment A B E L u a s space A E B C D space equals space open parentheses fraction numerator A C space cross times space B D over denominator 2 end fraction close parentheses space plus space open parentheses 1 half cross times A B cross times square root of E B squared space minus space open parentheses 1 half A B close parentheses squared end root close parentheses L u a s space A E B C D space equals space open parentheses fraction numerator 16 space cross times 12 over denominator 2 end fraction close parentheses space plus space open parentheses 1 half space cross times space 10 space cross times space square root of 13 squared space minus space 5 squared end root close parentheses L u a s space A E B C D space equals space 96 space plus space 60 space equals space 156 space c m squared$

Jawaban B