Question

There is a narrow rectangular plot whose length and breadth are in the ratio 5:2.At the rate of rs 120 per meter, it will cost rs53760 to fence the plot. Find tge dimensions of the plot​

Answer 1

Step-by-step explanation:

Given There is a narrow rectangular plot whose length and breadth are in the ratio 5:2.At the rate of rs 120 per meter, it will cost Rs 53760 to fence the plot. Find the dimensions of the plot

• Let the length and breadth of rectangular plot be 5x and 2x  
• We know that perimeter of rectangular plot = 2(l + b)
•                                                                      = 2(5x + 4x)
•                                                                     = 2(9x)
•                                                                     = 18 x
• Given cost of fencing the plot at the rate of Rs 120 per meter is Rs 53760  
• So 120 x perimeter = 53760
•      120 x 18 x = 53760
•    2160 x = 53760
•  So x = 24.8
• Now length of rectangular plot = 5x = 5(24.8) = 124 m
• Breadth of rectangular plot = 2x = 2(24.8) = 49.6 m

Therefore the dimensions of the plot are 124 m and 49.6 m

Reference link will be

https://brainly.in/question/10885570