Question

There is a narrow rectangular plot ,reserved for a school ,in Mihuli village. The

length and breadth of the plot are in the ratio 11:4. At the rate Rs. 100 per metre

it will cost the village panchayat at Rs. 75000 to fence the plot. What are the

dimensions of the plot.​

Answer 1

Answer:

Let the length and breadth of the rectangular plot be 11x and 4x respectively.

\therefore∴ Perimeter of the plot = \frac{Total\ Cost}{Cost\ of\ 1\ meter\ }=\frac{75000}{100}=750\ m  

Cost of 1 meter  

Total Cost

​  

=  

100

75000

​  

=750 m

We know that Perimeter of rectangle = 2 (length + breadth)

Therefore, according to the question,

750=2\left(11x+4x\right)750=2(11x+4x)

\Rightarrow750=2\times15x⇒750=2×15x

\Rightarrow750=30x⇒750=30x

\Rightarrow x=\frac{750}{30}=25⇒x=  

30

750

​  

=25

Hence, length of rectangular plot = 11 x 25 = 275 m

And breadth of rectangular plot = 4 x 25 = 100 m

Step-by-step explanation:

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Answer 2

Answer:

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