If every side of a triangle is doubled, the area of the new triangle is K times the area of the old one. K is equal to :
A. $$\sqrt 2 $$
B. 2
C. 3
D. 4
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {{\text{A}}_{\text{1}}} = \frac{{\sqrt 3 }}{2}{a^2}{\text{ and }} \cr & {{\text{A}}_{\text{2}}} = \frac{{\sqrt 3 }}{2}{\left( {2a} \right)^2} \cr & \,\,\,\,\,\,\,\,\,\, = 4 \times \frac{{\sqrt 3 }}{2}{a^2} \cr & \,\,\,\,\,\,\,\,\,\, = 4{{\text{A}}_{\text{1}}} \cr & \therefore {\text{K}} = 4 \cr} $$Related Questions on Area
A. 15360 m2
B. 153600 m2
C. 30720 m2
D. 307200 m2
E. None of these
A. 2%
B. 2.02%
C. 4%
D. 4.04%
E. None of these
A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate
E. None of these
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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