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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.
Not to scale.
a) Jess joins three tiles together to make a larger rectangle, as shown.
Not to scale.
(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]