Jennifer Thomas



GEOMETRY AREA/VOLUME

HOUSE-FLIP PROJECT

You just bought a house for $180,000!!! The floor plan is shown on the next page.

You plan on remodeling the house and then selling it for a profit.

You expect to complete the following projects:

• Install hardwood floors in the kitchen, living room, and master bedroom.

• Re-paint the kitchen, living room, and the 3 bedrooms.

• Install a new air conditioning unit.

Continue through the pages of this project to estimate your costs and determine for what price you should sell the house!

FLOOR-PLAN

All dimensions are in feet. All angles that appear to be right angles, are right angles.

INSTALLING HARDWOOD FLOORS

You have 3 choices for hardwood floors:

• White Oak: $2.60 per square foot

• Maple: $3.00 per square foot

• Golden Teak: $6.00 per square foot

Remember, you are installing hardwood floors in the kitchen, living room, and master bedroom.

1. Choose your favorite flooring from above.

2. Determine the square footage of the 3 rooms (use the [pic] button in your calculator and round the area of the kitchen to 2 decimal places). 6 points – 2 for each room

3. Determine the amount that you’ll need to spend on hardwood floors. 2 points

4. You’ll need to buy a little extra because the kitchen and living room aren’t perfectly rectangular, and after installing the floors you’ll end up with some scrap pieces of flooring. Tack on an extra 15% to the cost to be safe. 2 points

Use the space below and on the following page to complete this estimate. The person reading your project estimate shouldn’t have to figure out what you’re doing throughout each step of your work. *Draw diagrams of the rooms, *label shapes with their appropriate name (for example, “Trapezoid – A Section of the Living Room”), *write or explain the equations you use, *label your pictures and your answers. DO NOT JUST WRITE ANSWERS.

Installing Hardwood (2 points each)

Kitchen – [pic]

Living Room - [pic]

Master Bedroom - [pic]

Total Square Footage for all rooms: _________________ (1 point)

Choose: White Oak, Maple, or Golden Teak. Show the work for the total price of flooring. (2 points)

Total Price _____________

Now tack on the additional 15% to adjust for extra flooring incase of scraps being cut off. (2 points)

Total Price including 15% bump ______________

PAINTING

You are going to paint all the walls in the kitchen, living room, and 3 bedrooms. Each wall is 9 feet high. The spaces in the floor plan are for doorways which you are NOT painting.

Additionally, you are going to paint a pyramid shaped ceiling above the master bedroom and a half-cone shaped ceiling above a section of the kitchen. The dimensions and diagrams for these ceilings are shown on the next page. (Hint: does a ceiling have a base?)

The paint costs $25 per gallon. One gallon will cover about 350 square feet.

1. Determine the area of the walls you will paint. (Again, use the [pic] button on your calculator for the kitchen and round to 2 decimal places.) 10 points

2. Determine the area of the pyramid-shaped ceiling above the master bedroom. (Diagram shown on the following page.) 2 points

3. Determine the area of the half-cone shaped ceiling above the kitchen. (Diagram shown on the following page. Use the [pic] button on your calculator and round to 2 decimal places.) 2 points

4. Determine how many gallons of paint you will need. 3 points

5. Determine the cost of painting. 1 point

Again, clearly show what you are doing at each step. Draw diagram and show equations… DO NOT JUST WRITE ANSWERS.

Painting: (2 points for each room)

Kitchen (Walls + S.A. of Half-Cone Ceiling) – [pic]

Kitchen Half-Cone Ceiling:

Master Bedroom (Walls + S.A. of Pyramid Shaped Ceiling) – [pic]

Master Bedroom Pyramid Ceiling:

[pic]

Second Bedroom – [pic]

Third Bedroom – [pic]

Living Room – [pic]

How many gallons of paint will you need? (2 points)

Total Number of gallons ________

What is the total cost of painting? (1 points)

Total cost of painting ____________

AIR CONDITIONING

This house does not have a central air-conditioning system. You want to install a wall air-conditioning unit in the master bedroom. You have 4 choices for an air conditioning unit:

• A $50 unit designed to cool 1,000 cubic feet of space

• A $100 unit designed to cool 2,000 cubic feet of space

• A $150 unit designed to cool 3,000 cubic feet of space

• A $300 unit designed to cool 4,000 cubic feet of space

1. Determine the volume of the master bedroom. Don’t forget to add in the pyramid shaped ceiling. 4 points

2. Choose the appropriate air conditioning unit. You don’t want to spend more than you have to. 1 point

Again, clearly show what you are doing at each step. Draw diagram and show equations… DO NOT JUST WRITE ANSWERS.

Volume of master bedroom - [pic] (4 points – 2 for room part 2 for ceiling part)

Which air conditioner will you choose, and why? (1 point)

SELL THIS HOUSE

1. Determine how much this house has cost you altogether including the original purchase price of the house and all the updates. 2 points

2. The closing costs on the house that you have to pay (lawyer fees, real estate fees, title, loan applications, and escrow) will run around $10,000. After all these costs, you want to make a 20% profit on the sale of this house. So now you need to determine for how much you want to sell the house. 3 points

3. If houses in this area normally sell for 15% below the asking price, how much should you ask for this house? (In other words, what higher price are you going to tell your real estate agent to put the house for sale for on the market so that you actually get the price you want from #2 above?) 2 points

Again, explain what you are doing at each step. Show your work.

Total cost of House:(2 points) White Oak: $182,848.70, Maple: $183,210.04, Golden Teak: $185,920.09

Total cost of House with $10,000 closing costs and you want a 20% profit. Determine how much to sell for. (2 points)

How much? ___________________

How much should you ask for if houses normally sell for 15% below the asking price? (2 points)

Asking price? __________________

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3rd BEDROOM

2nd BEDROOM

2nd

BATH-ROOM

LIVING ROOM

MASTER BEDROOM

MASTER BATHROOM

KITCHEN

16

12

2

10

18

16

12

14

10

2

5

14

10

2

10

5

3

5

5.5

18

16

12

12.7

9

9 ft high

5.5

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