7th Class Mathematics Perimeter and Area Question Bank Perimeter and Area

  • question_answer
    In the given figure (not drawn to scale), B, D, F and Hare the midpoints AC, CE, EG            and A respectively. Find the area of the shaded portion, if AGEC is a square of area \[100\,c{{m}^{2}}\]

    A)  \[25\,c{{m}^{2}}\]             

    B)  \[50\,c{{m}^{2}}\] 

    C)         \[35\,c{{m}^{2}}\] 

    D)         \[75\,c{{m}^{2}}\] 

    Correct Answer: A

    Solution :

    Area of square \[AGEC=100\text{ }c{{m}^{2}}\] Area of shaded portion \[=\frac{1}{4}\times \](Area of square AGEC) \[=\frac{1}{4}\times \left( 100 \right)\,c{{m}^{2}}=25c{{m}^{2}}\]


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