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Mensuration — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSMensuration1 Mark
MCQ
Half the perimeter of a rectangular garden, whose length is $4m$ more than its width, is $36m$. Find the dimensions of the garden:
  • A
    Length is $30m$ and Breadth is $15m$
  • ✓
    Length is $20m$ and Breadth is $16m$
  • C
    Length is $40m$ and Breadth is $30m$
  • D
    Length is $45m$ and Breadth is $18m$
✓

Answer

Correct option: B.
Length is $20m$ and Breadth is $16m$

Let the width of the garden $= x$ meter
Then length $= (x + 4)$ meter
Half perimeter $= 36m$
So perimeter of garden $= (2 \times 36) = 72$ meters
According to the question
$\Rightarrow 2(l + b) = 72$
$\Rightarrow 2(x + x + 4) = 72$
$\Rightarrow 2x + 2x + 4 = 74$
$\Rightarrow 4x = 64$
$\Rightarrow x = 16$ meters
The length of the garden $= (16 + 4) = 20$ meters

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