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A different angle (Posted on 2003-10-10) Difficulty: 3 of 5
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?

See The Solution Submitted by Lewis    
Rating: 1.9167 (12 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution | Comment 1 of 23
Let AB = x
AF = FE = x
BC = CD = 2x
ED = x
A = 3x^2
P = 8x
3x^2 - 8x - 60 = 0
(3x + 10) (x - 6) = 0
x = 6
AC = (6^2 + 12 ^2)^ = 180^ = 6 x 5^ = 13.42

  Posted by retiarius on 2003-10-10 08:00:44
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