The diagram shows the graph of 3x + 2y = 30. OPQR is a rectangle with area

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The diagram shows the graph of 3x + 2y = 30. OPQR is a rectangle with area Acm2.

The point O is the origin, P lies on the x-axis, R lies on the y-axis and Q has coordinates (x, y) and lies on the line 3x + 2y = 30.
a. Show that 

b. Given that x can vary, find the stationary value of A and determine its nature.

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