melanie's+math


 * __Housing in the City of Maribyrnong __**

This assignment is about the housing in the City of Maribyrnong. We had to investigate the annual income of our client/s and decide whether we were going to buy or rent a house (the house has to be in the City of Maribyrnong area). With the floor plan of our clients’ house, we had to calculate the scale of the house, the dimensions of each room, the area of each room and the area of the whole house. Also, we had to research the cost of carpeting, and then calculate the cost of carpeting one room of the house. Our clients’ were a family of refugees. The annual income of our clients’ was around $40,000- the father- taxi driver- earned $20,000 yearly; the mother- a retail assistant- earned $20,000 yearly; the children attend primary school. They can only afford to rent a house. Their house must be close to a primary school, shopping centre and busy districts. Our clients’ house is in 2/49 Richelieu Street MAIDSTONE. Their rent is $380 per week. The house has three bedrooms, two bathrooms and a single garage. It is moments away from public transport, Highpoint Shopping Centre, schools, parks and the CBD.
 * GROUP: Courtney, Dianne, Linh, Melanie, Samantha **



**__ Questions: __** There are 10 rooms in our house.
 * (1) How many rooms are in the house/apartment? **

1:1
 * (2) From your house plan give a scale. **

** (3) Use the scale to give the dimensions of each room or what are the dimensions of your room? ** Kitchen= 4.6 x 2.0 and 2.0 x 2.0 Bedroom 1= 3.6 x 4.8 Dining= 3.6 x 4.6 Bedroom 2= 3.2 x 3.6 Laundry= 2.2 x 2.0 Bedroom 3= 3.4 x 4.0 Living= 3.8 x 5.6 Bathroom= 2.4 x 3.2 Garage= 6.2 x 2.4 Ensuite= 2.4 x 2.4 Kitchen- irregular quadrilateral Bedroom 1- rectangle Dining- rectangle Bedroom 2- rectangle Laundry- rectangle Bedroom 3- rectangle Living- rectangle Bathroom- rectangle Garage- rectangle Ensuite- square Area of kitchen= lw + l² Area of bedroom 1= lw = 4.6 x 2 + 2² = 3.6 x 4.8 = 9.2 + 4 = 17.28m² = 13.2m² Area of dining= lw Area of bedroom 2= lw = 3.6 x 4.6 =3.2 x 3.6 = 16.56m² = 11.52m² Area of Laundry= lw Area of bedroom 3= lw = 2.2 x 2.0 = 3.5 x 4.0 = 4.4m² = 13.6m² Area of living= lw Area of bathroom= lw = 3.8 x 5.6 = 2.4 x 3.2 = 21.28m² = 7.68m² Area of garage= lw Area of Ensuite= l² = 6.2 x 2.4 = 2.4² = 14.88m² = 5.76m²
 * (4) Identify the shapes of each room. **
 * (5) Find the area of each room. SHOW ALL WORKING OUT. **

** (6) What is the total area of the house/apartment? ** Downstairs Area= (lw) + (l²) + (lw) + (lw) + (lw) + (lw) + (lw) + (lw) + (lw) = (4.6 x 2) + (2 x 2) + (2.2 x 1.6) + (2.2 x 2.0) + (3.6 x 4.6) + (3.0 x 2.3) + (4 x 2.6) +(6.2 x 2.4) + (3.8 x 5.6) = 9.2 + 4 + 3.52 + 4.4 + 16.56 + 6.9 + 10.4 + 14.88 + 21.28 = 87.14m² Upstairs Area= (lw) + (lw) + (lw) + (lw) + (lw) + (lw) + (l²) = (3.4 x 4.0) + (2.4 x 3.2) + (2.5 x 5.8) + (3.2 x 3.6) + ( 3 x 2.3) + (3.6 x 4.8) + (2.4²) = 67.24m² .˙. Area= downstairs area + upstairs are = 87.14 + 67.24 = 154.38m² Carpet type: Heritage point (wool twist) Colour: Rapture Cost: $48.90 per square metre Purchased from: Carpet Choice Warranties if any: 10 year wear warranty < A durable, versatile and easy to clean quality carpet that makes any home comfortable>
 * (7) As a group, research the cost of carpeting. You will need to describe the type of carpet used. **

Bedroom 3- cost of carpeting= 48.90 x (lw) = 48.90 x (3.4 x 4.0) = 48.90 x 13.6 = $665.04
 * (8) Each person in your team should choose one room in your house and calculate the cost to carpet the room. SHOW ALL WORKING OUT. **

In conclusion, 2/49 Richelieu Street MAIDSTONE is the most appropriate house for our clients. It’s has a reasonable price, it’s close to all the things that they wanted, and it’s big enough for a family of four. The following table shows the area of the ten rooms: kitchen, dining, laundry, living, garage, bedroom 1, bedroom 2, bedroom 3, bathroom and Ensuite. The overall area of the house is 154.38m². The carpet chosen was Heritage Point and it cost $48.90 per metre square. Bedroom 3 is 13.6m²; carpeting bedroom 3 cost $665.04.
 * Room || kitchen || dining || Laundry || living || garage ||
 * Area || 13.2m² || 16.56m² || 4.4m² || 21.28m² || 14.88m ||


 * Room || Bedroom 1 || Bedroom 2 || Bedroom 3 || bathroom || Ensuite ||
 * Area || 17.28m² || 11.52m² || 13.6m² || 7.68m² || 5.76m² ||