Maths question from year 10 textbook?

Owen

New member
Hello this is a question from one of the exercises in my year 10 book I got stuck on. A fence in a pentagon shape has the perimeter ABCDE, BCDE is a rectangle and ABE is a equilateral triangle. k is the length of points CD. A(k) is area of pentagon. 1. What is A(k) in terms of k? 2. The allowable values for k?
 
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