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WAEC Mathematics 2009 Question 24

Question 24

Triangles and Quadrilaterals

In the diagram, |SQ| = 4 cm, |PT| = 7 cm, |TR| = 5 cm and ST//QR. If |SP| = x cm, find the value of x.

Diagram for this question
  1. A.5.6
  2. B.6.5
  3. C.6.6
  4. D.6.8
Show the answer and explanation

Answer: A (5.6)

Explanation

ST ∥ QR divides the sides in the same ratio: PS/SQ = PT/TR, so x/4 = 7/5 and x = 5.6.