A rectangle ABCO has two vertices, C and B, on the x-axis and y-axis respectively and another vertex, A, on the graph of 2x+y=4, as shown in the diagram. the coordinates of A is (a,b) where a and b are positive real numbers.
i) find the area, R, of rectangle ABCO in terms of a.
ii) What is the possible value(s) of a, so that the rectangle ABCO exists?
iii) Sketch the graph of R.
iv) Find the maximum value of R and the value of a for which this occurs.
IF I WERE TO DO IT I WOULD:
i) R = 2aX2b
ii) possible value(s) of a = ≤1
iii) Unsure how to this part? (Doh)
iv) i think it has to do with previous question so unsure again (Doh)(Worried)
Originally Posted by scubasteve94
Thank you so much
it was very helpful and i now fully understand the question