What is the perimeter of a rectangle with sides 2/9 m and 5/6 m?

Perimeter of rectangle is ##2 1/9## ##m##.

Perimeter of a rectangle whose two sides are ##l## and ##b## is

##2xx(l+b)##

In the given case ##l=2/9## m and ##b=5/6## m.

Hence perimeter is ##2xx(2/9+5/6)##

= ##2xx((2xx2)/(9xx2)+(5xx3)/(6xx3))##

= ##2xx(4/18+15/18)##

= ##2xx19/18##

= ##cancel2xx19/(9cancel18)##

= ##19/9=2 1/9## m.