6th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    If the area of a rectangle is equal to the area of a square and length of the rectangle is equal to the perimeter of the square, then the breadth of rectangle is ________

    A)  side \[\div \] 2

    B)  \[{{\text{(side)}}^{\text{2}}}\div 2\]

    C) \[\text{side}\div \text{4}\]

    D)  \[\text{side}\div 3\]

    Correct Answer: C

    Solution :

    It is given that, Area of rectangle = Area of square \[\Rightarrow l\times b=side\times side\] Also, length of rectangle = perimeter of square \[\Rightarrow l\text{=4 }\!\!\times\!\!\text{ side}\] Now, \[l\text{ }\times \text{ }b\text{ }=\text{ }side\text{ }\times \text{ }side\] \[\Rightarrow 4\times side\times b=side\times side\] \[\Rightarrow b=\frac{side}{4}\] \[\therefore \] Breadth of rectangle = side\[\div \] 4


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