Question

a path of uniform width of 1 metre runs round the inside of a rectangular field of dimensions 49 m buy 36 m find the area of the path

Answer 1

Length of rectangular field=49 m
Breadth of the rectangular field = 36 m
Area of rectangular field=L x B
= 49 x 36
=1764m

Now Area of rectangular field without path
Length of field without path = 49-1-1=47 m
Breadth of field without path = 36-1-1 = 34 m
Area of rectangular field without path= 47 x 34
=1598m

therefore
Area of path= Area of rectangular field - Area of rectangular field without path.
=1764 - 1598
=166 m


NOTE: WE HAVE SUBSTRACTED 1 m WIDTH OF PATH FROM EACH SIDE. A RECTANGLE CONTAINS 4 SIDES. TWO VERTICALS AND TWO PARALLE SIDES. SO THEREFORE (1 +1) = 2 HAS TO BE SUBSTRACTED FROM LENGTH AND BREADTH OF RECTANGLE. THE VALUES ARE SUBSTRACTED BECAUSE IT RUNS ROUND AND INSIDE OF RECTANGLE.

Answer 2

Answer:

166m^2

Step-by-step explanation:

area of rectangular field=L×B

Length=49m

Breadth=36m

Area=49×36=1764^2m

Area of rectangular field without path=

Length=49-2=47m

Breadth=36-2=34m

Area=L×B

=47×34=1598m^2

Area of path= Area of rectangular field - Area of rectangular field without path

1764 - 1598

=166m^2

We taken -2 because we have to get the path of inner. So, when we do calculation of Outer [we take +] and Inner [we take-]