Look at this shape:
Assume AB = AF = FE = ED and BC = CD, and all the angles in the shape are 90 degrees.
Let A be the area of this shape (in cm^2), and P  the perimeter of this shape (in cm).
If A  P is 60, what is the length of line AC?
The answer is: the square root of 180 (approximately 13.416).
Steps:
1. The equation for the length of each full side:
((x ^2) * 0.75)  (4x) = 60
The solution to this is 12
2. Therefore, the length of AB is 6 and BC is 12
3. Therefore, according to Pythagorean theorem, ((6 ^ 2) + (12 ^ 2)) ^ 0.5 = square root of 180, or 13.416 (approx.)

Posted by J Miesch
on 20031017 11:48:53 