Problem of the Week 29

A certain person owned the three square fields shown in the figure containing 18, 20, and 26 acres.  In order to fence the property, the person bought the four intervening triangular fields.  What is the area of the estate?

p169

Alternate Problem 29

Find the area of a quadrilateral whose vertices have coordinates (-10, -3), (-2, -5), (4, 7), and (-4, 8).

 

Extension Problem 29

If a vertex angle of a square with sides measuring 4 units is trisected, the following figure results:

p1734unitsFind the area of the shaded region.