As part of a DIY project, Jake wants to use wood cladding to cover a wall measuring 2.3m high and 2.9m wide. Cladding comes in packs of 5 planks, with each plank measuring 129cm long and 19.4cm wide. Each pack costs £13.50 plus VAT at 20%.
a) How many packs will Jake need to buy to cover the wall area?
b) What will be the total cost of the cladding for Jake’s wall?
A familiar style of GCSE question on area of rectangles. Students need to decide to calculate the area of the wall and the area of a pack of planks (taking care to convert to a common unit before multiplying by 5). It is important to stress to students that given the high marks awarded for a question of this type, even if the overall method proves too difficult for them, method marks will be awarded for working out any of the following:
- Area of the wall
- Area of one plank
- Area of a pack of planks
- Total price of one pack of planks
Discussions regarding rounding up or down to the nearest pack are also useful.
Teachers could extend the learning by considering:
- Asking students to work out wastage of material, given the rounding to the nearest full pack.
- Introduce the idea of ‘online purchasing’ which has a delivery charge. Ask students to factor this into a new total. Delivery must also have VAT calculated on it.
- Introduce a ‘10% off all ex-VAT prices’ offer for a bank holiday. Ask students to calculate how much could be saved if the cladding is bought at this lower price.
- Introduce a ‘time to cut and apply one plank’ (maybe 10-15 mins), and ask students to give an estimate for the time to complete the job.
One thought on “Area and cost of cladding”
Really thought provoking with an excellent set of extension ideas. Thank you.