the lenght and breadth of a rectangular piece of land are in the ratio 5:3. If the total cost of fencing at 7 per metre is 2800, find the area of the plot
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1
let by given information,length=l=5x and breadth=b=3x
given,
total cost of fencing=2800 and given
for 1m-----------------cost is 7
for 2(l+b)m-------------cost is 2800
~2(l+b)=2800/7
~2(5x+3x)=400
~8x=200~x=5
then length=l=5*5=25
breadth=b=5*3=15
then area=l*b=25*15=375m^2
given,
total cost of fencing=2800 and given
for 1m-----------------cost is 7
for 2(l+b)m-------------cost is 2800
~2(l+b)=2800/7
~2(5x+3x)=400
~8x=200~x=5
then length=l=5*5=25
breadth=b=5*3=15
then area=l*b=25*15=375m^2
Answered by
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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