Question

The length and breadth of a rectangular plot are in the ratio 4 is to 3 if the perimeter of the plot is 140 m find the cost of levelling it @ rupees 35 per square metre

Answer 1

let, the sides be 4x and 3x.
perimeter of triangle= 2(l+b)
2(4x+3x)=140
14x=140
x=10m
so, length= 4x=40m
breadth=3x=30m
area of rectangle=l*b
=40*30
=1200m^2
cost of levelling=1200*35
=42000/-

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Answer 2

Given:

Length and breadth = 3:4

Perimeter of plot = 140m

Cost of levelling = 35 per sq m

To Find:

Cost of levelling the entire area

Solution:

Length = 3x

Breadth = 4x

Thus,

P=2l+2w

140 = 2(3x) + 2(4x)

140 = 6x + 8x

140 = 14x

x = 10

Therefore, the sides will be -

4x = 4 × 10 = 40 and

3x = 3 × 10 = 30

Perimeter = 140

Thus, cost will be -

= 140 × 35

= 4900

Answer: The cost of levelling is Rs. 4900