1. a semicircular grassy plot is attached to a rectangular plot of 40 metres and 28 metres long by its width. find cost of fencing the combined plot at Rs 1.25 per metre
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Length of the plot, l = 40 m
Width of the plot, b = 28 m
Let the radius of the semicircular grassy plot be r m.
∴ 2r = BC = 28 m
⇒ r = 14 m
Combined length of the plot
= AB + AD + CD + Length of arc CB
= l + b + l + πr
= 2l + b + πr
= 80 m + 28 m + 44 m
= 152 m
Given, cost of fencing the plot = Rs 1.25 / m
∴ Cost of fencing the combined plot
= Combined length of the plot × Cost of fencing the plot
= 152 m × Rs 1.25/m
= Rs 190
Thus, the cost of fencing the combined plot is Rs 190.