4400 Higher November 2006 Paper 3 Q2

EdexcelHigherOld spec6 marksForming Equations

2 Rectangular tiles have width \(x\) cm and height \((x + 7)\) cm.

A tile labelled x across the top and x + 7 down the side

Diagram NOT accurately drawn

Some of these tiles are used to form a shape.
The shape is 6 tiles wide and 4 tiles high.

Shape made of tiles 6 wide and 4 high, with width and height labelled

Diagram NOT accurately drawn

(a) Write down expressions, in terms of \(x\), for the width and height of this shape. (2)
(b) The width and the height of this shape are equal.
(i) Write down an equation in \(x\).
(ii) Solve your equation to find the value of \(x\). (4)
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