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Concept of Perimeter and Area — Maths STD 6 — Question

Maharashtra BoardEnglish MediumSTD 6MathsConcept of Perimeter and Area1 Mark
MCQ
Mark $(\checkmark)$ against the correct answer in the following: 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:
  • A
    $1 : 2$
  • ✓
    $2 : 1$
  • C
    $3 : 2$
  • D
    $2 : 3$
✓

Answer

Correct option: B.
$2 : 1$
Ratio in length and perimeter of a rectangle $= 1 : 3$
Let length $= x,$
then perimeter $= 3x$
$\therefore$ Breadth $=\frac{3\text{x}}{2}-\text{x}=\frac{\text{x}}{2}$
$\therefore$ Ratio in length and breadth $=\text{x}:\frac{\text{x}}{2}$
$=2:1$

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