Question
The length of a rectangular field is twice its breadth. Jamal jogged around it four times and covered a distance of $6\ km$. What is the length of the field?
✓
Answer
Let breadth of rectangular field $= xm$
Then, length of rectangular field $= 2x$ $m$
$\because$ Distance covered in one round = Perimeter
$\therefore$ Distance covered in four rounds $ = 4 \times$ Perimeter
$\Rightarrow 4 \times 2(l + b) = 6\ km$ [$\because$ perimeter $= 2$ (length + breadth)]
$\Rightarrow 8 \times (l + b) = 6000m$ [$\because$ $1\ km = 1000m$]
$\Rightarrow 8(2x + x) = 6000m = 8 \times 3x = 6000m$
$\Rightarrow 24x = 6000m$
$\Rightarrow\frac{24\text{x}}{24}=\frac{6000}{24}$ [dividing both sides by $24$]
$\Rightarrow x = 250m$
$\therefore$ Length of the field $= 2x = 2 \times 250 = 500m$
Then, length of rectangular field $= 2x$ $m$
$\because$ Distance covered in one round = Perimeter
$\therefore$ Distance covered in four rounds $ = 4 \times$ Perimeter
$\Rightarrow 4 \times 2(l + b) = 6\ km$ [$\because$ perimeter $= 2$ (length + breadth)]
$\Rightarrow 8 \times (l + b) = 6000m$ [$\because$ $1\ km = 1000m$]
$\Rightarrow 8(2x + x) = 6000m = 8 \times 3x = 6000m$
$\Rightarrow 24x = 6000m$
$\Rightarrow\frac{24\text{x}}{24}=\frac{6000}{24}$ [dividing both sides by $24$]
$\Rightarrow x = 250m$
$\therefore$ Length of the field $= 2x = 2 \times 250 = 500m$
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