the floor of a room is a rectangle, 2.35 m by 3.85 m. Alberta wants to carpet the room using a single piece of carpet. She is choosing between two different carpets.
black rose carpet Carnival
£8 per square metre £7 per square metre 3m wide cut to any length
4m wide cut to any length
to to allow fitting Alberta allows an extra 15cm for the length and width.
which of these two is cheaper for Alberta to carpet the room and by how much
show working
+125 The black rose carpet cheaper.
In this case the 4m wide is just enough (3.85 + 0.15 = 4) and you have to cut to the length of 2.35 + 0.15 = 2.50m. 2.5 * 4 = 10 m^2. The cost is 10 * 8 = £80.
In the second case you have to buy carpet with 4m length. After you bought it you have to cut the width to 2.50m. Hence you have to buy 3 * 4 = 12 m^2 carpet which costs 12 * 7 = £84
In conclusion the first choice is cheaper by £4.
+125 The black rose carpet cheaper.
In this case the 4m wide is just enough (3.85 + 0.15 = 4) and you have to cut to the length of 2.35 + 0.15 = 2.50m. 2.5 * 4 = 10 m^2. The cost is 10 * 8 = £80.
In the second case you have to buy carpet with 4m length. After you bought it you have to cut the width to 2.50m. Hence you have to buy 3 * 4 = 12 m^2 carpet which costs 12 * 7 = £84
In conclusion the first choice is cheaper by £4.
