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Numeracy Foundation November 2021 Unit 2 Q3

WJECFoundationCurrent spec9 marks2D Area & PerimeterSubstitutionUnits & Time

3.

(a) Arwel is tiling an area behind his bathroom sink.
He uses one large rectangular tile with length 330 mm and width 250 mm.
(i) Find the area of the rectangular tile.
State the units of your answer. [3]
(ii) Arwel puts a 15 mm wide border around three sides of the tile.
He puts a 4 mm wide strip of adhesive between the tile and the sink.

This is shown below.

Rectangular tile 330 mm by 250 mm with a 15 mm border along the top and both sides and a 4 mm adhesive strip along the bottom, above a sink. a is the total width across the top; b is the total height down the left side

Diagram not drawn to scale

The length \(a\) on the diagram is the total length of the tile and borders.
The width \(b\) on the diagram is the total width of the tile, border and adhesive strip.

Find the length \(a\) and the width \(b\).
Give your answers in cm. [3]

Length \(a\) = …………………… cm    Width \(b\) = …………………… cm

(b) Arwel employs a tiler to do more tiling work in his house.

The tiler uses the following formula when preparing the bill for Arwel.

Total cost = £23 × number of hours worked + cost of materials

Calculate the total cost when the tiler works for 15 hours and 30 minutes and the cost of materials is £237.60. [3]