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# 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 rupees 100 per metre, it will cost the village panchayat rupees 75000 to fence the plot.what are the dimensions of the plot?

**Given:**

The length and breadth of the plot are in the ratio 11:4

At the rate rupees 100 per metre.

Tt will cost the village panchayat rupees 75000 to fence the plot.

**
**

**To do: ** Find the dimension of the plot

**Solution:
**Ratio of Length and breadth = $11 : 4$

Lets take the Length as $11 x$ , and breadth as $4 x$

Total cost of fencing = $75000$ ₹

cost per meter = $100 $₹

Total cost of fencing = Perimeter $\times$ cost per meter

75000 = Perimeter $\times$ 100

Rewrite,

Perimeter $\times$ 100 = 75000

Perimeter = $\frac{75000} {100}$

Perimeter = 750 m

Perimeter of Rectangle = $2 [length + breadth]$

$2 [length + breadth] = 750$

$Length + breadth = \frac{750}{2} = 375$

$11 x + 4 x = 375$

$15 x = 375$

$ x = \frac{375}{15}$

$x = 25$

Length = $11 x = 11 \times 25 = 275$

breadth = $4 x = 4 \times 25 = 100$

**Therefore the dimension of the plot is**

**Length = 275 m , Breadth = 100 m**