Question

In a park of dimensions $20m\times 15m$, there is an L shaped 1m wide flower bed as shown in the figure. Find the total cost of manuring for the flower bed at the rate of ₹ 45 per $m^2$.

Answer 1

Given, dimensions of a park $=20m\times 15m$ and with of a flower bed = 1m

From the figure, FG = BC - 1 m = (15 - 1) = 14 m
EF = DC - 1 m = (20 - 1) = 19 m

$\therefore$ Area of flower bed = Area of ABCD - Area of EFGD
$=20\times 15-19\times 14=300-266=34m^2$
[$\because$ area of rectangle = length $\times$ breadth]

$\because$ Cost of manuring $1m^2$ of flower bed = ₹ 45

$\therefore$ Cost of manuring $34m^2$ flower bed of
$=₹(34\times 45)=₹1530$