Question

Ram Lal has a rectangular plot of land. It takes 300 meters of wire to put a wire around it. If its length is twice its breadth, then find the length and breadth of this plot.​

Answer 1

★ Answer -

• The length of the plot = 100 m.
• The breadth of the plot = 50 m.

★ To find -

• The length and breadth of the plot.

★ Step-by-step explanation -

• Given that, Ram Lal has a rectangular plot of land. As it takes 300 meters of wire to put around the plot, it means the perimeter of the plot of land is 300 meters.

Let -

• The breadth of the plot of land be "x" m.

Then -

• The length will be "2x" m, as the length of the plot is twice its breadth.

We know that -

$\bigstar \: \underline{ \boxed{\sf Perimeter_{(rectangle)} = 2 \: (Length + Breadth)}}$

Here -

• Perimeter = 300 m.
• Length = "2x" m.
• Breadth = "x" m.

Therefore -

$\bf\implies 2 \: (2x + x) = 300$

$\implies \bf2 \: (3x) = 300$

$\implies \bf 2 \times 3x = 300$

$\implies \bf 6x = 300$

$\bf \implies x = \cancel\dfrac{300}{6}$

$\implies \underline{ \boxed{\bf x = 50}} \: \bigstar$

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Hence -

$\mapsto \rm Length_{(plot)} = 2x = 2 \times 50 = 100 \: m.$

$\mapsto\rm Breadth_{(plot)} = x = 50 \: m.$

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