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5. The length and breadth of a rectangular piece of land are in the ratio 5 : 3.
total cost of fencing it at the rate of 24 per metre is 9600, find its :
O length and breadth
( area
(11) cost of levelling at the rate of 60 per m2.
Answers
Answer:
Length = 125m; Breadth = 75m
Cost of levelling = Rs.5,62,500
Step-by-step explanation:
As the length and breadth of the rectangle are in the ratio 5:3, we can assign them as: 5x and 3x
Length = 5x
Breadth = 3x
Part A: Fencing
Total cost of fencing = Rs.9600
Rate of fencing = Rs.24 per metre
=> Total fence = 9600/24 = 400 metre
Total fence = Perimeter of rectangular plot
=> Perimeter of rectangle = 400 metre
Perimeter of rectangle = 2*Length + 2*Breadth
=> 2*5x + 2*3x = 400
=> 10x + 6x = 400
=> 16x = 400
=> x = 400/16
=> x = 25
=> Length of rectangle = 5x = 5*25 = 125
=> Breadth of rectangle = 3x = 3*25 = 75
Length of rectangle = 125 metre
Breadth of rectangle = 75 metre
Part B: Levelling
Area of rectangle = Length * Breadth
Area = 125 * 75
Area = 9375 sqm (square metre)
Rate of levelling = Rs.60 per sqm
Cost of levelling = 60*9375
= 562500
Cost of levelling = Rs.5,62,500
Answer:
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