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Jack
10-10-2013, 12:42 PM
In the figure below the triangle RST has a perimeter of 14 and SR=RT, what is the length of side ST given that the ratio of x:y=4:3 ?

46

Figure not drawn to scale


(A) \frac{32}{11}

(B) \frac{42}{11}

(C) \frac{52}{11}

(D) \frac{62}{11}

Thanks!!

miranda
10-10-2013, 12:53 PM
The perimeter of triangle RST is P=2x+y=14

and we also know that \frac{x}{y}=\frac{4}{3} \Rightarrow x=\frac{4y}{3}

P=2\frac{4y}{3} +y=14\Rightarrow 8y+3y =42 \Rightarrow 11y =42 \Rightarrow x =\frac{42}{11}


Therefore the correct answer is (B).

Jack
10-10-2013, 12:54 PM
Thank you miranda!