Question 1020713
Let the length of the carpet = {{{ L }}} ft
The width {{{ W = 9 }}} ft
---------------------
{{{ 16 }}} ft = the length of the room
If I subtract  the border from both ends
of the length, I get:
{{{ 16 - 2*( 1.5 ) = 16 - 3 }}}
{{{ 16 - 3 = 13 }}}
So, the length of the carpet, {{{ L = 13 }}}
----------------
(a)
The width of the room is:
{{{ W + 2*( 1.5 ) }}}
{{{ 9 + 3 = 12 }}}
The width of the room is 12 ft
----------------
(b)
The area of the room is {{{ 16*12 = 192 }}} ft2
----------------
(c)
The area of the border is:
[ area of room ] - [ area of carpet ]
{{{ 192 - 9*13 = 192 - 117 }}}
{{{ 192 - 117 = 75 }}}
75 ft2