Question

there is a narrow rectangular plot reserved for a school in mahuli village the length and breath of the plot are in the ration 11.4 at rate of rs 100 per meter it will cost the village panchayat rs 75000 to fence the plot what are the dimensions of the plot ?

Answer 1

Step-by-step explanation:

let length-11 x

breadth- 4 x

cost to fence plot is₹ 100 per m-75000

perimeter of the park =2(11x+4x)=75000÷ 100

2(15x)=750

15x=750÷2

X=750÷30=25

so length is 275 m

breadth 100m

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Answer 2

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