Engineering Board Exam Reviewer · Area of Polygons by Coordinates · medium

Find the area of the quadrilateral with vertices (1,1), (5,2), (6,6) and (2,5).

  1. 15
  2. 30
  3. 17
  4. 12

Answer

A. 15

Solution

Shoelace: xiyi+1=2+30+30+2=64 and yixi+1=5+12+12+5=34. Area= 12|64-34|=15.

More Area of Polygons by Coordinates questions

  1. Find the area of the triangle with vertices (0,0), (4,0) and (0,6).
  2. ECE Board November 1990: In a cartesian coordinate system, the vertices of a triangle are defined by the following points: (-2,0), (4,0)…
  3. EE Board April 1994: Given three vertices of a triangle whose coordinates are A(1,1), B(3,-3) and (5,-3). Find the area of the triangle.
  4. 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?
  5. ECE Board April 1999: Two vertices of a triangle are (2,4) and (-2,3) and the area is 2 square units. The locus of the third vertex is
  6. ECE Board April 1998: Find the area of the triangle which the line 2x-3y+6=0 forms with the coordinate axes.
  7. Find the area of the triangle with vertices (-2,1), (4,3) and (1,-5).

All Area of Polygons by Coordinates questions