You Don't Know Jack

Geometry Level 4

Four friends are playing bocce, and they have each thrown one of their balls onto the lawn. Their relative positions are shown above (with each square one foot on a side).

The jack, or target ball, is not pictured, but we do know that the order of the four colored balls, from closest to farthest away from the jack, is A, B, C, D.

Find the area, in square feet, of the region of the lawn where the jack could possibly be located.

(You may assume that the lawn extends infinitely in all directions. You are not limited to the edges of the given image.)


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