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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.)
simple | Comment 6 of 23 |
let cd =x then ab,af,fe,ed=x/2 and bc=x
area of fig =(x^2)-1/4(x^2)=3x^2/4
perimeter =4x
thus 3x^2-16x=60*4
therefore x=56.
also adc is an equilateral triangle threfore ac=56
  Posted by bharath on 2003-10-11 14:24:19
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