The area of a rhombus with side 13 cm and one diagonal 10 cm will be :
A. 140 cm2
B. 130 cm2
C. 120 cm2
D. 110 cm2
Answer: Option C
Solution(By Examveda Team)
Side of a rhombus = 13 cm
Diagonal of rhombus = 10 cm
In ΔAOB
$$\eqalign{ & AO = \sqrt {{{13}^2} - {5^2}} \cr & \,\,\,\,\,\,\,\,\,\, = \sqrt {169 - 25} \cr & \,\,\,\,\,\,\,\,\,\, = \sqrt {144} \cr & \,\,\,\,\,\,\,\,\,\, = 12\,cm \cr} $$
$$\eqalign{ & \Rightarrow AC = 24 \cr & {\text{Area of rhombus :}} \cr & = \frac{1}{2} \times {d_1} \times {d_2} \cr & = \frac{1}{2} \times 24 \times 10 \cr & = 120\,sq.cm \cr} $$
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D. 307200 m2
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B. 2.02%
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The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A. 40%
B. 42%
C. 44%
D. 46%
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