QCEVault

Further applications of differentiation — Question 277

Original QCE Vault practice · 5 marks

Q277 · Practice questionTechnology-freeComplex familiar5 marks

QUESTION 277 (5 marks)

A rectangular herb garden is built against a straight wall. A total of 3636 m of fencing is used for its other three sides. Let xx metres be the side length perpendicular to the wall.
Rectangular garden against a wall. Two perpendicular fenced sides are x; the third fenced side is 36-2x. Not to scale.
a)
Write the area AA as a function of xx, and state the physical domain.
[2 marks]
b)
Determine the dimensions that maximise the area and the maximum area.
[3 marks]
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