A rectangle has sides of length x x\,x cm and (x+4)(x+4)(x+4) cm, where x>0x>0x>0. Its area is 12 cm2^22.
a.
By completing the square, determine the dimensions of the rectangle.
[4]
b.
Find the exact length of its diagonal.
[2]
Markscheme
1.4.3 Completing the square for a quadratic curve Questions
8 exam-style questions on OCR (MEI) A Level Maths 1.4.3 Completing the square for a quadratic curve. Each one has a worked solution and a mark scheme showing where the marks go.