6. 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 metre it will cost the village panchayat 75000 to fence the plot. What are the dimensions of the plot?
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Answers
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\ mCost of 1 meter Total Cost=10075000=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=30750=25
Hence, length of rectangular plot = 11 x 25 = 275 m
And breadth of rectangular plot = 4 x 25 = 100 m
Answer:
the length and breadth of the plot are in the ratio 11:4.
the length will be 11x
breadth = 4x
Perimeter = 2( L + B )
=2(11x+4x)
= 2*15x
=30x
> At the rate Rs 100 per meter :-
30x * 100 = 3000x
3000x= 75000
3x=75
x=25
11x = 11*25 = 275m
4x=4*25 = 100 m
> 275m & 100m are the dimensions of the plot
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