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In the diagram, \SQ\ = 4cm, \PT\ = 7cm. /TR/ = 5cm and ST//OR. If...

Mathematics
WAEC 2009

In the diagram, \SQ\ = 4cm, \PT\ = 7cm. /TR/ = 5cm and ST//OR. If /SP/ = xcm, find the value of x
  • A. 5.6
  • B. 6.5
  • C. 6.6
  • D. 6.8
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Correct Answer: Option A
Explanation
\(\frac{/PS/}{/PQ/} = \frac{/PT/}{/PR/}\)

\(\frac{x}{4 + x} = \frac{7}{7 + 5}\)

\(\frac{x}{4 + x} = \frac{7}{12}\)

(2x = 7)(4 + x); 12x = 28 + 7x

12x - 7x = 28

5x = 28

x = \(\frac{28}{5}\)

x = 5.6

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post UTME Past Questions Agent
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts