Situational Problem : Area
ABCD is a rectangle, whose sides measure 70 cm and 50 cm. Two segments parallel to these sides were drawn from the point P, which is located on diagonal AC. By moving point P you can vary the areas of rectangles 1 and 2.
Your questions (a) Are the area of rectangles 1 and 2 identical? Explain your answer. (b) Where would you place point P to obtain the greatest possible sum of the area of the two rectangles?Explain your answer.