Math, asked by Anonymous, 1 year ago

6. 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 Rs75000 to fence the plot. What are the dimensions of the plot?

Answers

Answered by batradivjyot25
14
let the common multiple be x 

the length will be 11x 

breadth = 4x 

Perimeter = 2( L + B ) 

=2(11x+4x) 
= 2*15x
=30x 

At the rate Rs 100 per meter 

30x * 100 = 3000x 
3000x= 75000 
3x=75 
x=25 

11x = 11*25 = 275m 
4x=4*25 = 100 m 

275m & 100m are the dimensions of the Plot
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Answered by riddhimakarora
1

Answer:

L= 275m

B= 100m

Step-by-step explanation:

At the rate of 100rs per metre, the cost of fencing village panchayat is 75000.

Perimeter of the plot = 75000/700 = 750.

Length & Breadth of the plot is given to be 11:4.

We found the perimeter 750.

Perimeter of rectangle = 2(l+b)

750 = 2 (11x+4x) (taking x as the common multiple)

750 = 30x

x = 25.

L= 11*25 = 275

B= 4*25 = 100

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