4 Figure 4 Shows A Rectangle With Perimeter 500 Metres I E 500 2x 2y X Y Figure 4 A Prove That The Area A Of Th 1 (19.09 KiB) Viewed 23 times
4 Figure 4 Shows A Rectangle With Perimeter 500 Metres I E 500 2x 2y X Y Figure 4 A Prove That The Area A Of Th 2 (9.39 KiB) Viewed 23 times
4 Figure 4 shows a rectangle with perimeter 500 metres, i.e. 500 = 2x + 2y. X y Figure 4 (a) Prove that the area A of the rectangle is equal to following: A = 250x - x² (b) Using (a) or otherwise, find the value of x for making the maximum area. (4 marks) (6 marks)
(c) Check the result obtained in part (b) if it is a maximum length by using second derivative test. (d) Hence or otherwise, calculate the maximum area. (6 marks) (4 marks)
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