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A practice on finding area of polygons given their vertices in coordinates form.

Questions and Answers

1.

Find the area of Triangle PQR where P(1,3), Q(3,7) and R(5,1).
- A.
  
  5 sq units
- B.
  
  10 sq units
- C.
  
  15 sq units
- D.
  
  20 sq units
Correct Answer
B. 10 sq units
2.

The vertices of triangle ABC are A(0,0), B(-1,-7) and C(-3,2). Calculate the area of triangleABC.
- A.
  
  5.75sq units
- B.
  
  23 sq units
- C.
  
  11.5 sq units
- D.
  
  46sq units
Correct Answer
C. 11.5 sq units
3.

Find the area enclosed by the points A(2,5), B(-1,-1) and C(-4,-7). What deduction can you make from your answer?

Correct Answer
Area = 0 sq units Deduction: The three points are collinear.
4.

Find the area of the quadrilateral P(3,7) Q(5,-6), R(7,0) and S(-4,0).
- A.
  
  66sq units
- B.
  
  77sq units
- C.
  
  143 sq units
- D.
  
  71.5 sq units
Correct Answer
D. 71.5 sq units
5.

The area of triangle ABC is 70 sq. units, where A(-5,k), B(7,0) and C(3,10). Find k.
- A.
  
  K= -5
- B.
  
  K= o
- C.
  
  K= 1
- D.
  
  K= 3
Correct Answer
A. K= -5

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