Question

There is a narrow rectangular plot, reserved for a school, im mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate of rs 100per meter it will cost the village panchayat rs75000 to fence the plot. What are the dimensions of the plot?
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Answer 1

let length is 11x and breadth is 4x

perimeter of rectangle= 2(l+b)

is equal to 2(11x +4x ) = 30x

rate equal to 30x into 100 = 3000x

x =75000/3000=25

dimensions of plot 11×25=275 ,4×25=100

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