Question

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?​

Answer 1

Answer:

Solution:

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

Answer 2

Explanation:

here is your answer

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