Math, asked by Mayankkerr, 1 year ago

The length and breadth of a rectangular piece of land are in the ratio 5:3. If the total cost of fencing at rs 7 per meter is rs 2800,find the area of the plot


kunika2: ratio of length and breadth is 5:3 let the length be5x and breadth be 3x total cost of fencing is rs 2800 and rs 7 pr m ok so the perimeter is 2800/7=400m ok perimeter of rec.=2(l+b)= 400=2(l+b)=400=2(5x+3x)= 400=2(8x)= 400=16x
kunika2: ok then x=400/16=x=25 length is 5x=5×25=125 and breadth is 3x=3×25=75 now the area of rec.=l×b=125×75 =9375m^2

Answers

Answered by Incredible29
13
Heya user
Here is your answer !!

Ratio of length to breadth = 5:3
So let the length be 5x and breadth be 3x respectively .

Cost of fencing = Rs 7 per m
Total cost inferred = Rs 2800 .

Therefore , perimeter = 400 m
Now ,
2(l+b) = perimeter
=> 2(5x + 3x) = 400
=> 8x = 200
=> x = 25 .

So, length = 5*25 cm = 125 cm .
Breadth = 3*25 cm=75 cm .

Hence , area of the plot is = 125* 75 cm² = 9375 cm²

Hope it helps !!

Incredible29: plz follow if u lyk my amswer
kunika2: ur ans is half
Incredible29: completed
kunika2: ya now its completed
Answered by Anonymous
2

Answer:-

5 : 3 is length and breadth of Rectangle

₹ 7 per/m Rate of Fencing

Rs. 2800 is the Cost of Fencing

2800÷7

400 is the perimeter

5x is the length

3x is the breadth

=2(5x+3x)=400=2(5x+3x)=400

=10x+6x=400=10x+6x=400

=16x=400=16x=400

=x= 16400=x=16400

=x=25=x=25

(Eq) 1

=5×25=5×25

=125=125

(Eq) 2

=3×25=3×25

=75=75

125 unit is the length

75 unit is the breadth

(Area=L×B)

=125×75=125×75

=9375=9375

Therefore, 9375 is the area of plot

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