Quandaries
and Queries 

Name: mussawar Who is asking: Other Level of the question: Secondary Question: hi 

Mussawar, By a variable rectangle having area 36 cm^{2} the textbook author is asking you to consider all possible rectangles with area 36 cm^{2} . If such a rectangle is x cm by y cm then al you know is that
You might have x = y = 6, x = 12 and y = 3, x = 1 and y = 36, x = 72 and y = ^{1}/_{2}... There are may such choices for x and y. If a rectangle has side lengths x cm and y cm then the perimeter is
The question is then, if a rectangle has side lengths x cm and y cm and x y = 36 what are the values of x and y that make 2(x + y) as small as possible, that is a minimum. Penny 

