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Q13: Question – Paper 3 – June 2018
Q13: Question – Paper 3 – June 2018
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Question
13) In this question, assume all dimensions are in centimetres.
Jess and Pete have many rectangular tiles.
Each tile has length a + b and width 2b.
Jess and Pete have many rectangular tiles.
Each tile has length a + b and width 2b.
a) Jess joins three tiles together to make a larger rectangle, as shown.
(i) Write an expression for the perimeter of her rectangle.
Give your answer in its simplest form.
Give your answer in its simplest form.
[2 marks]
ii) An expression for the area of her rectangle is 6ab + 6b2.
Factorise this expression fully.
[2 marks]
b) Pete joins some tiles together to make a different rectangle.
The area of his rectangle is 8ab + 8b2.
Draw a possible arrangement of tiles for Pete’s rectangle.
Write down expressions for the length and for the width of the rectangle.
[5 marks]