Justine 2 questions first: A diagonal of a rectangle is the square root of 13 meters and the area of the rectangle is 6 meters squared. What are the dimensions of the rectangle? last: Find the ordered triple of nonzero digits (A,B,C) for which (AA)squared=BBCC where AA and BBCC are respectively, twodigit and fourdigit baseten numerals. Thanks Hi Justine,The way to solve these problems is with some intelligent guessing and checking. For the first, if the rectangle is x meters by y meters then, by the theorem of Pythagoras you know that x^{2} + y^{2} = 13. Can you find two interger x and y so that x^{2} + y^{2} = 13? Is xy = 6? For problem 2, 30 x 30 = 900 so the fact that AA^{2} has four digits implies that A is larger than 3. Calculate 44^{2}, 55^{2},... looking for a four digit answer of the form BBCC. Cheers,Penny
