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Mensuration — Maths STD 6 — Question

Maharashtra BoardEnglish MediumSTD 6MathsMensuration1 Mark
Question
Fill in the blanks:
If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is _________.
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Answer

If the ratio between the length and perimeter of a rectangular plot is 1 : 3, then the ratio between the length and breadth of the plot is 2 : 1.Solution:
Let the length of the rectangular plot be x and its perimeter be 3x.
As, the breadth of the rectangular plot $=\Big(\frac{\text{Perimeter}}{2}\Big)-\text{Length}$
$=\frac{3\text{x}}{2}-\text{x}$
$=\frac{3\text{x}-2\text{x}}{2}$
$=\frac{\text{x}}{2}$
Now, the ratio between the length and breadth of the plot $=\frac{\text{Length}}{\text{Breadth}}$
$=\frac{\text{x}}{\big(\frac{\text{x}}{2}\big)}$
$=\frac{2\text{x}}{\text{x}}$
$=\frac{2}{1}$
$=2:1$

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