ABC26GN4694 · Area
Subject: General Aptitude · Chapter: Area · Exam: 2016 · Marks: · Difficulty:
The area of a rhombus with side 13 cm and one diagonal 10 cm will be
(a)$140 \mathrm{cm}^{2}$
(b)$130 \mathrm{cm}^{2}$
(c)$120 \mathrm{cm}^{2}$
(d)$110 \mathrm{cm}^{2}$
Answer
Explanation
Side of a rhombus $=13 \mathrm{cm}$ Diagonal of rhombus $=10 \mathrm{cm}$ In $\triangle \mathrm{AOB}$ $$\begin{aligned} & \mathrm{AO}=\sqrt{13^{2}-5^{2}}=\sqrt{169-25}=\sqrt{144}=12 \mathrm{cm} . \\ & \Rightarrow \mathrm{AC}=24 \end{aligned}$$ Area of rhombus $=\frac{1}{2} \times d_{1} \times d_{2}=\frac{1}{2} \times 24 \times 10=120 \mathrm{sq} . \mathrm{cm}$.
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