Question

What is the area of this polygon?



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Answer 1

42 square units

Explanation:

Think of the polygon as being the rectangle GPST added to the triangle PES.

total area = area of rectangle GPST + area of triangle PSE

= LW + bh/2

= GT × GP + PS × h / 2

= 7(5) + 7(2)/2

= 35 + 7

= 42

Just a note of the height of the triangle. The height of triangle PSE, h, is the segment with endpoints E and point (2, 2), so its length is 2.