WAEC Mathematics 1997 Question 22

Question 22

Triangles and Quadrilaterals

In the diagram, EF//QR, PE = 2cm, EQ = 4cm and FR = 6cm. Find x.

Diagram for this question
  1. A.2cm
  2. B.3cm
  3. C.4cm
  4. D.5cm
  5. E.6cm
Show the answer and explanation

Answer: B (3cm)

Explanation

A line parallel to one side divides the other sides in the same ratio: PE/EQ = PF/FR, so 2/4 = x/6 and x = 3 cm.