Question

there is a narrow rectangular plot .the length and breadth of the plot are in the ratio of 11:4 at the rate of Rs .100 per meter it will cast village Panchayat RS 75000 to the fence the plot what are the dimension of the plot .
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Answer 1

let length (l)=11x

breath (b)= 4x

we need to fence the plot so we need to find the perimeter.

2(l+b)= perimeter

to fence the plot rs.100 per meter

so,

2(l+b)*100=75000

2(11x+4x)*100=75000

22x+8x*100=75000

30x*100=75000

30x=75000/100

x=25

therefore, l=11*25=275m

b=4*25=100m.

Answer 2

Answer:

$\huge\boxed{\fcolorbox{red}{pink}{Your's Answer}}$

Length of plot$= 11x$

Breadth of plot$= 4x$

Cost $per \: m = </strong><strong>R</strong><strong>s100$

Total cost for fencing the plot$= </strong><strong>R</strong><strong>s75000$

It means that it is perimeter of plot:

According to question:-

$perimeter = \frac{total \: cost}{cost(per \: m) }$

$perimeter = \frac{75000}{100}$

$perimeter = 750 \: m$

$perimeter = 2(l + b)$

$2(11x + 4x) = 750 m$

$15x = \frac{750}{2}$

$15x = 375$

$x = \frac{375}{15}$

$x = 25$

Length

$= 11x = 11 \times 25 \\ = 275 \: m$

Breadth

$= 4x = 4 \times 25 \\ = 100 \: m$

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