If an angle of a triangle remains unchanged but each of its two including sides is doubled, then by what factor does the area get multiplied ?
A. 2
B. 3
C. 4
D. 6
Answer: Option C
Solution(By Examveda Team)
Original area = $$\frac{1}{2}ab\sin \theta $$New area :
$$\eqalign{ & = \frac{1}{2} \times \left( {2a} \right) \times \left( {2b} \right)\sin \theta \cr & = 4\left( {\frac{1}{2}ab\sin \theta } \right) \cr & = 4 \times {\text{ original area}} \cr} $$
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
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D. Data inadequate
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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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