A rectangular plot measures 125 m by 78 m. It has gravel path 3 m wide all around on the outside. Find the area of the path and the cost of gravelling it at Rs 75 per m2.
The plot with the gravel path is shown in the figure.
Area of the rectangular plot $=l \times b$
Area of the rectangular plot $=125 \times 78=9750 \mathrm{~m}^{2}$
Length of the park including the path = 125 + 6 = 131 m
Breadth of the park including the path = 78 + 6 = 84 m
Area of the plot including the path
$=131 \times 84$
$=11004 \mathrm{~m}^{2}$
Area of the path $=11004-9750$
= 1254 m2
Cost of gravelling 1 m2 of the path = Rs 75
$\therefore$ Cost of gravelling $1254 \mathrm{~m}^{2}$ of the path $=1254 \times 75$
$=$ Rs 94050
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