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 75000 to fence the plot. What are the dimensions of
the plot?​

Answer 1

Step-by-step explanation:

Let the length and breadth's common ratio: x in metre

∴ Length :11x and Breadth :4x

Perimeter ⇒2(l+b)

=2(11x+4x)=30x

As per the question:

Cost of fencing plot at rate of Rs.100 per meter is Rs.75000

∴100× Perimeter =75000

3000x=75000

x=25

Length =11×x=11×25=275 m

Breadth =4x,=4×25=100 m

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.