Question 24

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waecmaths question: 

In the diagram $\left| SQ \right|=4cm,\text{ }\left| PT \right|=7cm\text{, }\left| TR \right|=5cm$ and $ST\parallel QR$ If $\left| SP \right|=xcm$. Find the value of x

Option A: 

5.6

Option B: 

6.5

Option C: 

6.6

Option D: 

6.8

waecmaths solution: 

$\begin{align}  & \frac{\left| PS \right|}{PT}=\frac{\left| PQ \right|}{PR} \\ & \frac{x}{7}=\frac{4+x}{7+5} \\ & 12x=28+7x \\ & 5x=28 \\ & x=5.6 \\\end{align}$

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