Question

8. The length and breadth of a rectangular piece of land are in the ratio of 5:3. If the total
of fencing it at 24 per metre is 39600, find its length and breadth

Answer 1

Answer:

Step-by-step explanation:

Total cost of fencing the land at Rs 24per metre=9600

Therefore, the perimeter of the land = 39600÷24

=1650

Let the length be 5x and breadth be 3x

Therefore, perimeter of the land= 2(l+b)

1650=2(5x+3x)

1650=16x

Therefore, x=1650÷16

X= 103.125

THEREFORE, Length= 515.625 and breadth=309.375

Answer 2

AnswEr :

I have found a mistake in here question. So, I clear that;

$\bf{\Large{\underline{\sf{Given\::}}}}$

The length and breadth of a rectangular piece of land are in the ratio of 5:3. If its total of fencing it at 24 per metre is 9600.

$\bf{\Large{\underline{\sf{To\:find\::}}}}$

It's length and breadth.

$\bf{\Large{\underline{\rm{\red{Explanation\::}}}}}$

Let the ratio be R.

$\bf{\green{We\:have}\begin{cases}\sf{Length\:of\:rectangular\:piece\:of\:land\:(L)=5R}\\ \sf{Breadth\:of\;rectangular\:piece\:of\:land\:(B)=3R}\\ \sf{Total\:fencing\:is\:9600}\\ \sf{Rate\:of\:fencing\:=\:Rs.24}\end{cases}}$

A/q

$\longmapsto\sf{Perimeter\:of\:rectangular\:land=\:\dfrac{Total\:fencing}{Rate\:of\:fencing} }\\\\\\\longmapsto\sf{Perimeter\:of\:rectangular\:land=\cancel{\dfrac{9600}{24}}}\\ \\\\\longmapsto\sf{\purple{Perimeter\:of\:rectangular\:land=400\:m}}$

So,

$\longmapsto\sf{\red{Perimeter\:of\:rectangle\:=\:2(Length+Breadth)}}\\\\\\\longmapsto\sf{400\:=\:2(5R+3R)}\\\\\\\longmapsto\sf{400\:=\:2(8R)}\\\\\\\longmapsto\sf{400=16R}\\\\\\\longmapsto\sf{R\:=\:\cancel{\dfrac{400}{16} }}\\\\\\\longmapsto\sf{\purple{R\:=\:25\:m}}$

Thus,

$\leadsto\sf{Lengh\:=\:5(25)m\:=\:125m}\\\\\leadsto\sf{Breadth\:=\:3(25)\:=\:75m}$