Engineering Board Exam Reviewer · Area of Polygons by Coordinates · hard
ECE Board November 1990: In a cartesian coordinate system, the vertices of a square are: (1,1), (0,8), (4,5) and (-3,4). What is the area?
- 20 sq. units
- 30 sq. units
- 25 sq. units
- 35 sq. units
Answer
C. 25 sq. units
Solution
Ordering the vertices around the square as (1,1),(4,5),(0,8),(-3,4) (each side has length 5), the shoelace formula gives Area = 25 sq. units.
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