Answer:
Part 1) The area of the 4 walls is ![368\ ft^2](https://tex.z-dn.net/?f=368%5C%20ft%5E2)
Part 2) You will have to buy 2 gallons
Part 3) You will have to buy 3 gallons
Part 4) ![\$75](https://tex.z-dn.net/?f=%5C%2475)
Part 5) The area of the floor is ![126\ ft^2](https://tex.z-dn.net/?f=126%5C%20ft%5E2)
Part 6) ![\$850.5](https://tex.z-dn.net/?f=%5C%24850.5)
Part 7) ![\$1,008](https://tex.z-dn.net/?f=%5C%241%2C008)
Part 8) ![\$472.5](https://tex.z-dn.net/?f=%5C%24472.5)
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
![P=2(9+14)=46\ ft](https://tex.z-dn.net/?f=P%3D2%289%2B14%29%3D46%5C%20ft)
The area of the walls is
![46(8)=368\ ft^2](https://tex.z-dn.net/?f=46%288%29%3D368%5C%20ft%5E2)
Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?
using proportion
![\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B350%7D%5C%20%5Cfrac%7Bgal%7D%7Bft%5E2%7D%3D%5Cfrac%7Bx%7D%7B368%7D%5C%20%5Cfrac%7Bgal%7D%7Bft%5E2%7D%5C%5C%5C%5Cx%3D368%2F350%5C%5C%5C%5Cx%3D1.05%5C%20gal)
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
![368(2)=736\ ft^2](https://tex.z-dn.net/?f=368%282%29%3D736%5C%20ft%5E2)
using proportion
![\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B350%7D%5C%20%5Cfrac%7Bgal%7D%7Bft%5E2%7D%3D%5Cfrac%7Bx%7D%7B736%7D%5C%20%5Cfrac%7Bgal%7D%7Bft%5E2%7D%5C%5C%5C%5Cx%3D736%2F350%5C%5C%5C%5Cx%3D2.10%5C%20gal)
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
![3(25)=\$75](https://tex.z-dn.net/?f=3%2825%29%3D%5C%2475)
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
![A=(9)(14)=126\ ft^2](https://tex.z-dn.net/?f=A%3D%289%29%2814%29%3D126%5C%20ft%5E2)
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
![126(6.75)=\$850.5](https://tex.z-dn.net/?f=126%286.75%29%3D%5C%24850.5)
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
![126(8.00)=\$1,008](https://tex.z-dn.net/?f=126%288.00%29%3D%5C%241%2C008)
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
![126(3.75)=\$472.5](https://tex.z-dn.net/?f=126%283.75%29%3D%5C%24472.5)