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You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 14' and the walls are 8' tall. (1) What is the area of all 4 walls together? 4032 sq. ft. If a gallon of paint covers 350 sq. ft., (2) how many gallons will you have to buy? (remember you can't buy .4 of a gallon) gallons. (3) How many gallons will it take to put on 2 coats of paint? gallons (4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint? $ Flooring: (5) What is the area of the floor? sq. ft. Oak Flooring costs $6.75 per square foot and Maple costs $8.00 per square foot while carpet costs 3.75 per square foot. (6) What is the cost to redo the floor in oak? $ (7) What is the cost to redo the floor in maple? $ (8) What is the cost to redo the floor in carpet? $

Respuesta :

calculista

Answer:

Part 1) The area of the 4 walls is [tex]368\ ft^2[/tex]

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) [tex]\$75[/tex]

Part 5) The area of the floor is [tex]126\ ft^2[/tex]

Part 6) [tex]\$850.5[/tex]

Part 7) [tex]\$1,008[/tex]

Part 8) [tex]\$472.5[/tex]

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

so

The perimeter of the floor is

[tex]P=2(9+14)=46\ ft[/tex]

The area of the walls is

[tex]46(8)=368\ ft^2[/tex]

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

[tex]\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal[/tex]

Remember that you can't buy a fraction of gallon

so

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

[tex]368(2)=736\ ft^2[/tex]

using proportion

[tex]\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal[/tex]

Remember that you can't buy a fraction of gallon

so

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

so

[tex]3(25)=\$75[/tex]

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

[tex]A=(9)(14)=126\ ft^2[/tex]

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

so

[tex]126(6.75)=\$850.5[/tex]

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

so

[tex]126(8.00)=\$1,008[/tex]

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

so

[tex]126(3.75)=\$472.5[/tex]

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