College of Admission Tests Multan

Coordinate Geometry

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 4

In the figure, what is the area of quadrilateral ABCO ? 003dfig08 -54848192
  • 3
  • 5
  • 6.5
  • 8
  • 13

  Show/Hide Explanation 

Correct Answer: B

Dropping a vertical line from point B perpendicular to the x-axis will form a square and a triangle:

003dfig09 -76697808

From the figure, we see that the square has area s2 = 22 = 4 , and the triangle has area

Hence, the area of the quadrilateral is 4 + 1 = 5. The answer is (B). Note, with this particular solution, we did not need to use the properties of the diagonal line in the original diagram.