Question

A semi circular grassy plot is attached to a rectangular plot of 40 m by 28 m by it’s width.find the cost of fencing the combined plot at Rs. 1.25 per metre

Answer 1

Step-by-step explanation:

Given A semi circular grassy plot is attached to a rectangular plot of 40 m by 28 m by it’s width.find the cost of fencing the combined plot at Rs. 1.25 per metre

• Length of the plot l = 40 m
• Width of the plot b = 28 m  
• So radius of semi-circular grassy plot will be r m
• So 2r = BC = 28 m
• Or r = 14 m
• Now total length of the plot = AB + CD + AD + length of arc BC
•                                            = l + b + l + π r
•                                             = 2l + b + π r  
•                                            = 2 x 40 + 28 + 22/7 x 28/2 m
•                                             = 80 + 28 + 44 m
•                                              = 152 m
• Now cost of fencing the plot is Rs 1.25 / m  

Therefore cost of fencing the combined plot will be 1.25 x 152

                                                                             = Rs 190

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