Question

Can someone help me out with this please? I suck at fractions

The baseboard will not go across the doorway of the room which is 2 ¼ feet wide.
a. Taking into account the doorway, calculate the new length of baseboard needed for the room

b. The hardware store sells the baseboards in 8 foot lengths. How many boards need to be purchased to install new baseboards in the room?

Answer 1

164 inches x
`(1 foot)/(12 inches)` =
`(41)/(3)`ft

147 inches x
`(1 foot)/(12 inches)` =
`(49)/(4)`ft

2
`(1)/(4)`ft =
`(9)/(4)`

Perimeter = 2L + 2w - 1doorway

= 2
`((41)/(3))` + 2(
`((49)/(4))` -
`(9)/(4)`

=
`(82)/(3)` +
`(98)/(4)` -
`(9)/(4)`

=
`(82)/(3)` +
`(89)/(4)`

=
`((4)/(4) )`
`(82)/(3)` +
`((3)/(3) )`
`(89)/(4)`

=
`(328)/(12)` +
`(267)/(12)`

=
`(595)/(12)`

= 49
`(7)/(12)`ft

******************************************************************************

b) 49
`(7)/(12)`ft ÷ 8ft = 6.2

7 boards need to be purchased