Question

Question 1

A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. Find the area of the path. Also, find the area of the garden in hectares.

Answer 1

Length of rectangular garden = 90 m
Breadth of rectangular garden = 75 m

Outer length of rectangular garden with path 90 + 5 + 5 = 100 m
Outer breadth of rectangular garden with path = 75+5 +5 = 85m

Outer area of rectangular garden (with path)
$=length\times breadth$
$=100\times 85=8,500m^2$

Inner area of garden (without path)
$=length\times breadth$
$=90\times 75=6,750m^2$

Now,
Area of path
= (Area of garden with path) - (Area of garden without path)
$=8,500-6,750$
$=1,750m^2$

$\because 1m^2=\frac{1}{10000}hectares$

$\therefore 6,750m^2=\frac{6750}{10000}=0.675hectares$