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

  • question_answer
    Line EF divide a rectangle ABCD into two squares of equal area. Find the area of rectangle ABCD.

    A)  \[16\text{ c}{{\text{m}}^{2}}\]              

    B)         \[\text{32 c}{{\text{m}}^{2}}\]

    C)  \[\text{64 c}{{\text{m}}^{2}}\]              

    D)        \[\text{24 c}{{\text{m}}^{2}}\]

    E) None of these

    Correct Answer: B

    Solution :

    Explanation: Option (b) is correct. The area of square EFCD = \[\text{side}\times \text{side}\] \[=(4\times 4)\text{ c}{{\text{m}}^{2}}=16\text{ c}{{\text{m}}^{2}}\] Therefore, the area of square ABFE = \[16\text{ c}{{\text{m}}^{2}}\] Hence, the required area \[=(16+16)\text{ c}{{\text{m}}^{2}}\] \[=32\text{ c}{{\text{m}}^{2}}\]


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