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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 :
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {{\text{A}}_{\text{1}}} = \frac{{\sqrt 3 }}{2}{a^2}{\text{ and }} \cr
& {{\text{A}}_{\text{2}}} = \frac{{\sqrt 3 }}{2}{\left( {2a} \right)^2} \cr
& \,\,\,\,\,\,\,\,\,\, = 4 \times \frac{{\sqrt 3 }}{2}{a^2} \cr
& \,\,\,\,\,\,\,\,\,\, = 4{{\text{A}}_{\text{1}}} \cr
& \therefore {\text{K}} = 4 \cr} $$
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