Question 3

Use the floor plan of his house in ANNEXURE B to answer the following questions

3.1 Give a reason why it is acceptable for the kitchen and living room to only have door openings (without doors) leading into the passage. (2)

3.2 Which rooms shown on the floor plan will be much cooler during winter? Give a reason for your answer. (3)

3.3 Mr Vermeulen bought wood panels to cover the four interior walls of his living room, as shown in the photographs below.

The interior dimensions of the living room floor are 7,04% less than the exterior dimensions, as shown on the floor plan.

3.3.1 Show that the interior dimensions of the living room floor are 3,3 m x 3,3 m. (3)

3.3.2 Determine the total surface area (to the nearest m2) of the interior walls of the living room that have to be covered with wood panels.

The following formula may be used:
Area of a rectangle = length x width (11)

3.4 Wood panels are sold per cubic metre (m3) and not per length. The timber retailer gave Mr Vermeulen a quote of R5 000,00 per cubic metre, excluding 14% VAT

Mr Vermeulen noted the following:

• Each wood panel is 2 m long, 150 mm wide and 12,5 mm thick.
• 4,5% more than the required number of panels is required due to cutting and wastage.
• Labour cost for panelling is RI 25,00 per square metre, including VAT.

He budgeted R6 000,00 for the cost of the panels and the labour.

Verify whether Mr Vermeulen’s budgeted amount is enough to cover the cost of the panels and labour.

The following formulae may be used:

Area of a rectangle = length x width

Volume of a rectangular prism = length x width x height (12)

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