Question

a plot is 120m long and 105m broad.A path 10m wide is to be built around it.Find the area of the path.Also find the area of the plot in hectare.

Answer 1

Answer:

4900 sq m

49 hectares

Step-by-step explanation:

area of plot without path = 12600  sq m

width of path=10 m

area of plot with path=(120+10+10)*(105+10+10)

=17500  sq m

area of path = 17500-12600

=4900  sq m

Answer 2

The area of the path is 4900 sq.m. and  the area of the plot in hectare is 1.26 hectares

Step-by-step explanation:

Length of plot = 120 m

Breadth of plot = 105 m

Area of plot = $Length \times Breadth = 120 \times 105 =12600 m^2$

10000 sq.m. = 1 hectare

$1 sq.m. = \frac{1}{10000}\\12600 sq.m. =\frac{12600}{10000}=1.26 hectares$

Now we are given that A path 10m wide is to be built around it.

External length = 120+(10+10)=140 m

External breadth = 105+10+10=125 m

Area of path = External area - Area of plot =$(140 \times 125)-12600=4900 m^2$

Hence  the area of the path is 4900 sq.m. and  the area of the plot in hectare is 1.26 hectares

#Learn more:

A garden is 90m long and 75m broad.a path of 5m is to be built outside and around it.find the area of the path.also find the area of garden in hectare

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