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8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The ratio between the length and the perimeter of a rectangular plot is 1 : 3 and the ratio between the breadth and perimeter of that plot is 1 : 6. What is the ratio between the length and area of that plot?

    A) 2:1                              

    B) 1:6

    C) 1:8                              

    D) Data inadequate

    Correct Answer: D

    Solution :

    Given that, \[\therefore \] \[=\frac{1}{\sqrt{2}}\times \] Let length = 2x, breadth = x, perimeter = 6 x. Area \[=\frac{1}{\sqrt{2}}\times \frac{100}{\pi }=\frac{50\sqrt{2}}{\pi }cm.\] \[=x+x\times \frac{50}{100}=\frac{3x}{2}\] Ratio between length and area \[=y-y\times \frac{25}{100}=\frac{3y}{4}\]                                                 \[\therefore \] Which cannot be determined.


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