A) \[100\,\,c{{m}^{2}}\]
B) \[128\,\,c{{m}^{2}}\]
C) \[125\,\,c{{m}^{2}}\]
D) \[126\,\,c{{m}^{2}}\]
Correct Answer: B
Solution :
Area of square\[BC\times D=16\,\,c{{m}^{2}}\] \[\therefore \] Side\[=4\,\,cm\] Area of rectangle\[EF\times D=32\,\,c{{m}^{2}}\] \[XD\times XF=32\,\,c{{m}^{2}}\] \[4cm\times XF=32\,\,c{{m}^{2}}\] \[XF=8\,\,cm\] Area of Rectangle ABHX \[=64\,\,c{{m}^{2}}\] \[HX\times BX=64\,\,c{{m}^{2}}\] \[HX\times 4\text{ }cm=64\,\,c{{m}^{2}}\] \[HX=16\,\,cm\] \[\therefore \]Area of shaded portion GF XH\[=HX\times XF\]\[=16\,\,cm\times 8\,\,cm=128\,\,c{{m}^{2}}\]You need to login to perform this action.
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