Question

There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹100 per meter it will cost the village panchayat ₹75000 to fence the plot. what are the dimensions of the plot?​

Answer 1

Given: The Length and Breadth of a rectangular plot are in the ratio of 11 : 4. & the rate of ₹100 per m it'll cost ₹75000 to fence the plot.

Need to find: The dimensions of the plot?

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❍ Let's say, that the Length and Breadth of the plot be 11x and 4x respectively.

• P E R I M E T E R :

✇ Fencing of the plot requires four sides of the plot. Therefore, we've to find out the perimeter of the rectangular plot.

As we know that, Perimeter is Given by sum of its all sides. i.e. (a + b + c + d). So, Let's Solve —

⠀

$:\implies\sf Perimeter = 11x + 4x + 4x + 11x\\\\\\:\implies\sf Perimeter = 22x + 8x\\\\\\:\implies\sf Perimeter = 30x$

∴ Hence, Perimeter of the Plot is 30x.

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• C O S T⠀O F⠀F E N C I N G :

• At the rate of 100 per metre, it'll cost the village to fence the rectangular plot at ₹75000.

⠀

$\star\;\underline{\boxed{\pmb{\sf{Cost_{\;(fencing)} = Perimeter \times Rate}}}}$

$:\implies\sf 75000 = 30x \times 100 \\\\\\:\implies\sf 75000 = 3000x\\\\\\:\implies\sf x = \cancel\dfrac{75000}{3000}\\\\\\:\implies\underline{\boxed{\pmb{\frak{\red{x = 25}}}}}\;\bigstar$

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Therefore,

• Length of the plot, 11x = 11(25) = 275 meters
• Breadth of the plot, 4x = 4(25) = 100 meters

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$\therefore{\underline{\textsf{Hence, the dimensions of the rectangular plot are \textbf{275 m, 100 m} respectively.}}}$

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Answer 2

Answer:

Question :-

• There is a narrow rectangular plot, reserved for a school , in Mahuli Village .The length and breadth of a plot are in ratio 11:4.At the rate £100 per meter it will cost the village panchayath £75000 to fence the plot.What are the dimensions of the plot.

Answer :-

• $Dimensions \: of \: the \: plot \: is$
• $length = 275m$
• $breadth = 100m$

$\mathcal\purple{Given:-}$

• Here given length and b are in the ratio of 11:4.At the rate of £100 per meter it will cost the village panchayath £75000 to fence the plot.

$\mathcal\purple{To prove:-}$

• $The \: dimensions \: of \: the \: plot$

$\mathcal\purple{Explanation:-}$

• Here first we should find the perimeter of the plot.
• So,

• $perimeter = \frac{75000}{100} = 750$

Let us take that,

• Length =11x
• Breadth =4x

$\mathcal\green{Now,}$

• Finding the dimensions of the plot .

• $2(11x + 4x) = 750$

• $2 \times 15x = 750$

• $30x = 750$

• $x = \frac{750}{30}$

• $x = 25$

$\mathcal\purple{Therefore}$

• The length of plot is
• $11x = 11 \times 25 = 275m$

• The breadth of plot is
• $4x = 4 \times 25 = 100m$

$\mathcal\purple{So,}$

• The dimensions of rectangular plot is 275m and 100m.

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• https://brainly.in/question/16180751.
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Hope it helps u mate .

Thank you .