If the diagonals of a rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus are respectively · ABC26GN4516
Subject: General Aptitude · Chapter: Area · Exam: S.S.C. 2005
If the diagonals of a rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus are respectively
(a)$120 \mathrm{cm}^{2}, 52 \mathrm{cm}$
(b)$120 \mathrm{cm}^{2}, 64 \mathrm{cm}$
(c)$240 \mathrm{cm}^{2}, 52 \mathrm{cm}$
(d)$240 \mathrm{cm}^{2}, 64 \mathrm{cm}$
Answer
Answer (as printed): A
Explanation
Area = d1d2 = × 24 × 10 cm 2 = 120 cm 2 . 2 2 1 1 OA = d1 = × 24 cm = 12 cm. 2 2 1 1 OB = d2 = × 10 cm = 5 cm. 2 2 D C O A B AB2 = OA2 + $\mathrm{OB_{2}}$ = (12)2 + 52 = 169 ⇔ AB = 13 cm. \ Perimeter = (13 × 4) cm = 52 cm. 1