question_answer

The figure given is made up of a rectangle, 2 identical semicircles and a quadrant. Find the unshaded area of the figure. (Use\[\pi =\frac{22}{7}\].)

A)  \[\text{135}0\,\text{c}{{\text{m}}^{\text{2}}}\]                              

B)  \[\text{1154}\,\text{c}{{\text{m}}^{\text{2}}}\]

C)  \[\text{14}00\,\text{c}{{\text{m}}^{\text{2}}}\]     

D)                         \[~\text{126}0\,\text{c}{{\text{m}}^{\text{2}}}\]

Correct Answer: D

Solution :

Area of quadrant\['x'\]\[1441\times x=5040\times 12\] Area of rectangle \[\Rightarrow \] \[x=\frac{5040\times 12}{144}=420\]Unshaded area \[219\times =657\]