Difference between revisions of "2014 UNCO Math Contest II Problems/Problem 5"

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== See also ==
 
== See also ==
{{UNC Math Contest box|year=2014|n=II|num-b=4|num-a=6}}
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[[Category:Intermediate Geometry Problems]]
 
[[Category:Intermediate Geometry Problems]]

Revision as of 18:18, 19 October 2014

Problem

(a) The White Rabbit has a square garden with sides of length one meter. He builds a square cucumber frame in the center by connecting each corner of the garden to the midpoint of a far side of the garden, going clockwise, as shown in the diagram. What is the area of the region that is enclosed in the inner square frame?

(b) Suppose that the White Rabbit builds his square cucumber frame by connecting each corner of the garden to a point a distance $x$ from the next corner, going clockwise, as shown in the diagram. Now what is the area of the region that is enclosed in the inner square frame?

Solution

See also

2014 UNCO Math Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10
All UNCO Math Contest Problems and Solutions