Freddy has a piece of string that is 20 inches long. He wants to use t

Hi All,

We're asked to use a 20 inch string to form the perimeter of a rectangle. We're asked for the LARGEST possible rectangular area that could be created. This question is built around a relatively rare concept (while you might see it on Test Day, it would likely be just once). In simple terms, when dealing with a 'fixed' total length as described in the prompt, the largest area will be created when you form a SQUARE.

For example, with a 20 inch string, you could form the following rectangles:
A 1x9 rectangle with an area of 9
A 2x8 rectangle with an area of 16
A 3x7 rectangle with an area of 22
A 4x6 rectangle with an area of 24
A 5x5 rectangle with an area of 25

There's no other possible rectangle that will lead to an area that is larger than 25.

Final Answer:

GMAT assassins aren't born, they're made,
Rich

The greatest possible area of a rectangle occurs if all sides are equal, so if each side is 5, the greatest area is 5 x 5 = 25.

Answer: D

Rectangle and squares are quadrilateral, the question specifically states they want rectangle where l=b, square all sides are equal , so why are you guys assuming l=b

All squares are rectangles but not vise-versa, so when considering squares, we are still considering rectangles.