Question

A path of 5 m wide run outside the rectangular garden which is 110 m long and 90 m broad. Find the area of path in hectares ?

Answer 1

Answer:

2100 m²

Step-by-step explanation:

Hi,

Let the outer rectangle be ABCD and the inner rectangle be abcd. 

Length of the inner rectangle = 110 m 

and the breadth of the inner rectangle = 90 m

Since the path which is of  uniform width of the outside path is 5 meter,

So, the length of the outer rectangle = 110 + 2*5 = 120 m 

and the breadth of the outer rectangle = 90 + 2*5 = 100 m

The area of the inner rectangle = 110*90 = 9900 m²

The area of the outer rectangle = 120*100 = 12000 m²

So, Area of the path= Area of Outer rectangle - Area of inner rectangle

=  12000 - 9900

=  2100 m².

Hence, area of the path = 2100 m²

Hope, it helps !

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Answer 2

Step-by-step explanation:

l=110

b=90

area of garden = l*b=110 *90

=9900m2

new path included =120

b=100

l*b=120*100=1200m2

area of path =12000-9900=2100m2

1hectare =10000m2

area of Garden in hectares =2100 divided by 1000 =0.21