Mai+Phan's+Maths+Project

__ **Housing in the City of Maribyrnong Math Assessment Tasks** (Back to Mai's Home Page) (Back to 8c's Home Page) __ For this topic, about our community, in math groups, we were given the task of finding a suitable house for our client. The task is to find the area of some rooms and the cost of covering the rooms with carpet. But before we decided on a house and the carpeting we were to create a profile of our clients.


 * Client:** retired couple
 * Career:** retired
 * Source of income:** aged pension centrelink
 * Income:** $506.50 each per fortnight
 * Pet:** cat (over ten years of age)
 * Pet registration:** $26

__The clients needs and wants in a home:__ So the house my group chose has a garden out back and a park nearby.
 * The female client:** has a hobby of gardening so she wants a garden in her home.
 * The male client:** likes going for walks, so he wants a park nearby

**__Task 1__** **- Investigate annual income of your client(s)**

1 year = 52 weeks 52 weeks = 26 fortnights 1 year = 26 fortnights
 * __My clients are an elderly retired couple on centrelink pension. This is their income annually:__**

Income per fortnight = $506.50 each Income per year = Income per fortnight x No. of fortnights in a year Income per year = $506.50 x 26 Income per year = $13 169.00

The annual income of the clients are $13 169.00 each which is a total of $26 338.00 altogether.

**__Task 2__** **– Obtain a plan of your house/apartment in the City of Maribyrnong** Because the clients are an elderly couple who receive just enough income to live and only a little bit extra for leisure, my group and I decided it would be good if they had a house that wasn’t too expensive. We also thought that the elderly couple would appreciate living in a small suburb that wasn’t too crowded. So we chose a small house in Seddon with 2 rooms.



 a) There are two rooms in the house.

b) The house plan was not to scale so the scale could not be given.

c) Dimensions of each room are: d)  Living/Dining Room: Rectangle Bedroom 1: Square Bedroom 2: Rectangle

A = LW A = 4.3 x 3.7 A = 15.91m² The total area of the Living/Dining room is 15.91m².
 * e) ****__Living/Dining Room:__**

A = S² A = 3.4² A = 11.56m² The total area of Bedroom 1 room is 11.56m².
 * __ Bedroom 1: __**

A = LW A = 2.9 x 3.6 A = 10.44m ² The total area of Bedroom 2 room is 10.44m².
 * __ Bedroom 2: __**

f) The total area of the house could not be calculated because the house plan was not to scale and only a few rooms were given the measurements of. But the total area of the three rooms where the measurements were given is: 37.91m²

g) If the house needed new carpet, then the type of carpet our group would choose is woolen carpet this type of carpet will cost $45 per square meter. The woolen carpet we chose is durable and luxurious, it has moderate soil and stain resistance. Wool is available in more styles than nylon but is more limited in colour choices.

h) The cost of carpet covering for each room…

Living/Dining Room: Cost = Area x cost per square meter Cost = 15.91m² x $45 Cost = $751.75 The carpet for this the Living/Dining Room will cost $751.75 Bedroom 1: Cost = Area x cost per square meter Cost = 11.56m² x $45 Cost = $546.21 The carpet for this Bedroom 1 will cost $546.20

Bedroom 2: Cost = Area x cost per square meter Cost = 10.44m² x $45 Cost = $493.29 The carpet for this Bedroom 2 will cost $493.30

The house for the elderly couple, on centrelink aged pension, is a small inexpensive house with a garden for the Mrs. to tend to and a park close by for a short leisure walk. The areas of the rooms are: 15.91m² for the Living/Dining Room, 11.56m² for Bedroom one and 10.44m ² for Bedroom two. If the couple were to decide they would like a new covering of carpet in their three rooms, then the cost of the carpet for each room will be: $751.75 for the Living/Dining Room, $546.20 for Bedroom one and $493.30 for Bedroom two; which is a total cost of $1791.25 for all three rooms.
 * The total cost for carpet for all three rooms = $1791.25 **
 * __ Conclusion: __**

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