What is the area of the given figure ?
A. 98.8 cm2
B. 110.4 cm2
C. 120 cm2
D. 132.6 cm2
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & AD = \sqrt {{4^2} + {6^2}} cm \cr & \,\,\,\,\,\,\,\,\,\,\, = \sqrt {52} \,cm \cr & \,\,\,\,\,\,\,\,\,\,\, = 2\sqrt {13} \,cm \cr & \,\,\,\,\,\,\,\,\,\,\, = \left( {2 \times 3.6} \right)cm \cr & \,\,\,\,\,\,\,\,\,\,\, = 7.2\,cm \cr} $$Area of the whole figure :
$$ = {\text{Area (}}\vartriangle {\text{AED) + }}$$ $${\text{ Area (}}\square {\text{ ABCD) + }}$$ $${\text{Area (}}\vartriangle {\text{BFC)}}$$
$$ = \left[ {\left( {\frac{1}{2} \times 4 \times 6} \right) + \left( {12 \times 7.2} \right) + \left( {\frac{1}{2} \times 4 \times 6} \right)} \right]c{m^2}$$
$$\eqalign{ & = \left( {24 + 86.4} \right)c{m^2} \cr & = 110.4\,c{m^2} \cr} $$
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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