Quadratic Formula

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The diagram shows a six-sided shape formed from two rectangles. All measurements are given in centimetres.

$A diagram of a six-sided shape formed by two rectangles. The left rectangle has a width of x\, and a height of 2x + 3. The right rectangle has a height of 4. The total width of the shape is 3x + 2.$

The area of the shape is 50cm²

Show that $2x^2 + 11x - 42 = 0$

[2]

Find the value of $x$ . Give your answer to 3 significant figures.

[3]

Quadratic Formula Questions

Practise AQA GCSE Maths Quadratic Formula with exam-style questions for Foundation and Higher tier. 49 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.