Quadratic Formula
19
Medium
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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 adjacent rectangles. The left rectangle has a width of x-5 and a height of 4x. The right rectangle has a width of 5 and a height of 12-x. They share a common vertical side.

The area of the shape is 40cm2

a.

Show that 4x2−25x+20=04x^2 - 25x + 20 = 04x2−25x+20=0

[2]
b.

Find the value of xxx. 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.

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Quadratic Formula Questions

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