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

  • question_answer
    If ABCD is a rectangle having length \[30\text{ }cm\] and breadth \[20\text{ }cm,\] E, F and G are midpoints of AB, CD and AD respectively, find the area of the unshaded part.

    A)  \[400\,\,c{{m}^{2}}\]                    

    B)         \[450\,\,c{{m}^{2}}\]  

    C)  \[375\,\,c{{m}^{2}}\]                    

    D)         \[500\,\,c{{m}^{2}}\]

    Correct Answer: B

    Solution :

      Area of rectangle \[=l\times b=30\times 20\] \[=600\,\,c{{m}^{2}}\] Area of \[\Delta \,\,DGF\]  \[=\frac{1}{2}\times b\times h\]                                 \[=75\,c{{m}^{2}}\] Similarly area of \[\Delta \,\,AGE=75\,c{{m}^{2}}\] Area of unshaded region \[=600-(75+75)\,\,c{{m}^{2}}\] \[=450\,\,c{{m}^{2}}\]


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