The length and breadth of a rectangular piece of land are in the ratio of 5:3. If the total cost of fencing it at ₹ 24 per metre is ? 9600, And its length and breadth.
Answers
ANSWER
It is given that,
Ratio in length and breadth of a rectangular piece of land = 5:3
Cost of fencing = ₹9600,
Rate = ₹24 per meter.
We know that,
Perimeter = total cost of fencing / rate per meter,
Substituting the values,
=9600/24
=400 m.
Consider 5x as the length and 3x as the breadth,
Here perimeter = 2(l+b)
Substituting the values,
400=2(5x+3x)
By further calculation,
400=2(8x)
So we get,
400=16x
x=400/16=25.
(i) Length of land = 5x = 5∗25 = 125 m.
Breadth of land = 3x = 3∗25 = 75 m.
(ii) Area = l∗b
Substituting the values,
=125∗75
=9375m2.
(iii) Cost of levelling at the rate of ₹60 per m2= 60∗9375
= ₹ 5,62,500.
Answer:
Length = 125m
Breadth = 75m
Step-by-step explanation:
Let the length and the breadth of the rectangular piece of land be 3x and 5x.
Cost of fencing = ₹ 9600
and rate = ₹ 24
Perimeter = total cost of fencing/ rate per metre
= 9600/24
= 400m
Perimeter = 2( length + breadth)
400m = 2(3x + 5x)
400m = 2 * 8x
400m/2 = 8x
200m = 8x
x = 200/8
x = 25
3x = 3*25 = 75 = breadth
5x = 5*25 = 125 = length