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Question 1 of 8

Calculator allowed

For a rectangular exercise enclosure, let \(d\) be one side length and let the model output be the area

\[y=-(d-9)^2 + 81\]

The other side length is \(18-d\) metres

The meaningful domain is \(5\le d\le 14\), with lengths measured in metres and area measured in square metres

The output level \(56\) square metres is used for the threshold question

(a)2 marks

Calculate the input length at the turn and the corresponding area

(b)1 mark

What type of extremum is shown by the area rule?

(c)1 mark

Where does the greatest allowed area occur?

(d)1 mark

Give the relevant input that reaches \(56\) square metres as an exact value