MATH SOLVE

3 months ago

Q:
# a) You want to put down hard wood floors in your master bedroom. How much hard wood flooring would you need to buy?Amount of hardwood floor = Round your answer to 2 decimal places as needed.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?Amount of trim to buy = Round your answer to 2 decimal places as needed.c) You want to paint your new bedroom. How much paintable space is there in the room? We will assume the following: - You are painting all walls and the inside of your french doors. - You want to paint the ceiling as well. - Your windows and sliding doors account for 73 square feet of surface that does not get painted (i.e. you will be painting above your sliding doors and above/below your window)Amount of paintable space = Round your answer to 2 decimal places as needed.d) How many gallons of paint would you need to buy? We will assume the following: - The builder already put primer on all the paintable surfaces. - One gallon of paint covers 350 square feet. - You want to put on two coats of paint on every paintable surface.Amount of paint needed = gallons. Round your answer to 2 decimal places as needed. Note: Paint is obviously not bought in hundredths of gallons, but we are still going to answer accordingly!

Accepted Solution

A:

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 1Find 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 2Subtract 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 1Find the area of the ceilingwe know thatThe area of the floor is equal to the area of the ceilingsoThe area of the ceiling is equal to [tex]A=480\ ft^{2}[/tex]step 2Find the area of the wallsMultiply the perimeter by the height[tex]92*10=920\ ft^{2}[/tex] step 3Subtract 73 square feet of surface that does not get painted (windows and sliding doors ) and the area of the hallwayThe 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 thatOne gallon of paint covers 350 square feetMultiply 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]