Question

A 300 metre long wire is used to fence a rectangular plot whose length is 7 less than twice its width form an equation to find the width of the plot







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Answer 1

Answer:

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Answer 2

GivEn:

• Length of wire used to fence a Rectanglular plot = 30 metre

• Length of Rectanglular plot is 7 less than twice its width.

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To find:

• Length and width of the plot.

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SoluTion:

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${\underline{\sf{\bigstar\;According\;to\:quesTion\::}}}$

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Length of Rectanglular plot is 7 less than twice its width.

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• Let width of Rectanglular plot be x.

• Therefore, Length of Rectanglular plot is 2x.

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Length of wire used to fence a Rectanglular plot, 300 m = Perimeter of Rectanglular plot

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As we know that,

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$\star{\boxed{\sf{\purple{Perimeter\;of\; Rectangle = 2(l + b)}}}}$

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$\small\sf\;\;\;\;\;\;\underline{Putting\:values\;:}$

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$:\implies\sf 2(l + b) = 300$

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

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$:\implies\sf 2(3x) = 300$

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$:\implies\sf 6x = 300$

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$:\implies\sf x = \cancel{ \dfrac{300}{6}}$

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$:\implies{\underline{\boxed{\sf{\pink{50\;m}}}}}\;\bigstar$

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Therefore,

• Width = x = 50 m
• Length = 2x = 2 × 50 = 100 m

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$\therefore$ Hence, Length and width of Rectanglular plot is 100 m and 50 m respectively.