4th Class Mental Ability Measurement Length, Weight and Capacity Question Bank Measurement

  • question_answer
    Find the area of the shaded portion in the figure given below in terms of AB and BC.

    A) \[4\text{ c}{{\text{m}}^{2}}-(\text{AB}\times \text{BC)}\]

    B) \[(\text{AB}\times \text{BC)}-4\text{ c}{{\text{m}}^{2}}\]

    C) \[(\text{AB}\times \text{BC)}+4\text{ c}{{\text{m}}^{2}}\]

    D) \[(\text{AB}\times \text{BC)}-8\text{ c}{{\text{m}}^{2}}\]

    E) None of these

    Correct Answer: B

    Solution :

    Explanation: Option (b) is correct. Area of rectangle ABCD = \[\text{AB}\times \text{BC}\] Area of unshaded square = \[(2\times 2)\text{ c}{{\text{m}}^{2}}=4\text{ c}{{\text{m}}^{2}}\] Therefore, area of shaded part = area of rectangle ABCD \[-\] area of unshaded square = \[\text{(AB}\times \text{BC)}-4\text{ c}{{\text{m}}^{2}}\]


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