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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

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?

Solution:

Let the common ratio between the length and breadth of the rectangular plot be x.

Hence, the length and breadth of the rectangular plot will be 11x and 4x respectively.

Perimeter of the plot = 2(Length + Breadth)

= 2(11x + 4x)

= 30x

It is given that the cost of fencing the plot at the rate of ₹100 per metre is ₹75,000.

100 × Perimeter = 75000

100 × 30x = 75000

3000x = 75000

Dividing both sides by 3000, we obtain

x = 25

Length = 11x 

= (11 × 25) m

= 275 m

Breadth = 4x 

= (4 × 25) m

= 100 m

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

☛ Check: NCERT Solutions Class 8 Maths Chapter 2

Video Solution:

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 Rs 75,000 to fence the plot. What are the dimensions of the plot?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.4 Question 6

Summary:

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 Rs 75,000 to fence the plot. The dimensions of the plot are 275 m and 100 m respectively.

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