MathDB
Walking and area

Source:

February 21, 2006
geometryrectangleMATHCOUNTS

Problem Statement

Charlyn walks completely around the boundary of a square whose sides are each 55 km long. From any point on her path she can see exactly 11 km horizontally in all directions. What is the area of the region consisting of all points Charlyn can see during her walk, expressed in square kilometers and rounded to the nearest whole number? (A) 24(B) 27(C) 39(D) 40(E) 42\text{(A)}\ 24 \qquad\text{(B)}\ 27\qquad\text{(C)}\ 39\qquad\text{(D)}\ 40 \qquad\text{(E)}\ 42
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