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 375000 to fence the plot. What are the dimensions of
the plot?​

Answer 1

Answer:

Length=275 m

Breadth=100 m

Step-by-step explanation:

Given :-

1. Ratio of Length and Breadth = 11 : 4
2. Cost of fencing = 75000

To Find:-

Dimensions of the plot.

Solution :-

Length = 11x m.

Breadth = 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
• 75/3=x
• 25 = x
• Length = 11 × 25 = 275 m
• Breadth = 4 × 25 = 100 m