Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
Each side of a rhombus is 26 cm and one of its diagonals is 48 cm long. The area of the rhombus is
(a)$2400 \mathrm{cm}^{2}$
(b)$3000 \mathrm{cm}^{2}$
(c)$3600 \mathrm{cm}^{2}$
(d)$4800 \mathrm{cm}^{2}$
Answer
Answer (as printed): A
Explanation
AB = 26 cm and AC = 48 cm ⇒ OA = × 48 cm = 24 cm. 2 $\mathrm{OB_{2}}$ = AB2 – OA2 = (26)2 – (24)2 = (26 + 24) (26 – 24) = 100 ⇒ OB = 50 ⇒ BD = 2 × OB = (2 × 50) cm = 100 cm. 1 1 \ Area = × AC × BD = × 48 × 100 cm = 2400 cm 2 2 2 D C O A B 743 1 24