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

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

the dimensions of the plot?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Given :-

Ratio of Length and Breadth = 11 : 4

Cost of fencing = 75000

To Find:-

Dimensions of the plot.

Formula to be used :-

Perimeter of rectangular plot = 2(Length + Breadth)

Solution :-

Let the Length be 11x m.

And the Breadth be 4x m.

⇒ Perimeter of rectangular plot  = 2 (Length + Breadth)

⇒ Perimeter of rectangular plot  = 2 (11x + 4x)

⇒ Perimeter of rectangular plot  = 30x m

Cost of fencing = Perimeter × Rate per meter

⇒ 75,000 = 30x × 1000

⇒ 75,000 = 3000x

⇒ 75000/3000 = x

⇒ 25 = x

Length = 11x = 11 × 25 = 275 m

Breadth = 4x = 4 × 25 = 100 m

Hence, the dimensions of the plot are 275 m and 100 m.

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