The length of a rectangular plot is 15 metres more than its breadth. If the cost of fencing the plot is rs. 2700 at the rate of rs. 30 per metre, what is the length of the plot in metres
Answers
Answered by
1
Given:
The length of a rectangular plot is 15 metres more than its breadth.
To find:
If the cost of fencing the plot is rs. 2700 at the rate of rs. 30 per metre, what is the length of the plot in metres
Solution:
From given, we have,
The length of a rectangular plot is 15 metres more than its breadth.
⇒ l = b + 15
The perimeter of the plot = 2(l + b)
= 2 [(b + 15) + b]
= 2 [2b + 15]
= 4b + 30
The cost of fencing the plot is Rs. 2700 at the rate of Rs. 30 per metre
30 × (4b + 30) = 2700
120b + 900 = 2700
120b = 2700 - 900
120b = 1800
b = 1800/120
b = 15 m
l = 15 + b = 15 + 15 = 30 m
Therefore, the length of the plot in metres is 30 m
Similar questions