Answer:
Part a) The amount of hardwood floor is [tex]480\ ft^{2}[/tex]
Part b) The amount of trim to buy is [tex]78\ ft[/tex]
Part c) The amount of paintable space is [tex]1,297\ ft^{2}[/tex]
Part d) The amount of paint needed is [tex]7.41\ gallons[/tex]
Step-by-step explanation:
Part a) You want to put down hard wood floors in your master bedroom. How much hard wood flooring would you need to buy?
Find the area of the floor
[tex]A=(10+5+3)(10+5+10)+(2+6+2)(3)[/tex]
[tex]A=(18)(25)+(10)(3)[/tex]
[tex]A=480\ ft^{2}[/tex]
Part b) You also want to put a trim on the bottom of each wall, except in front of the french doors, sliding doors, or hallway. How much trim should you buy?
step 1
Find the perimeter of the master bedroom
[tex]P=2(25)+2(18)+2(3)[/tex]
[tex]P=50+36+6[/tex]
[tex]P=92\ ft[/tex]
step 2
Subtract the front of the french doors, sliding doors and hallway from the perimeter
[tex]92-(5+6+3)=78\ ft[/tex]
Part c) You want to paint your new bedroom. How much paintable space is there in the room?
step 1
Find the area of the ceiling
we know that
The area of the floor is equal to the area of the ceiling
so
The area of the ceiling is equal to [tex]A=480\ ft^{2}[/tex]
step 2
Find the area of the walls
Multiply the perimeter by the height
[tex]92*10=920\ ft^{2}[/tex]
step 3
Subtract 73 square feet of surface that does not get painted (windows and sliding doors ) and the area of the hallway
The amount of paintable space is equal to
[tex]A=480+920-73-3(10)=1,297\ ft^{2}[/tex]
Part d) How many gallons of paint would you need to buy?
we know that
One gallon of paint covers 350 square feet
Multiply the area by two (because You want to put on two coats of paint on every paintable surface)
so
[tex]1,297*(2)=2,594\ ft^{2}[/tex]
using proportion
[tex]1/350=x/2,594[/tex]
[tex]x=2,594/350[/tex]
[tex]x=7.41\ gallons[/tex]