Question

The quadrilaterals ABCD and PQRS are similar.Find the length x of SP.PA14DSC 26BR4Q

Answer 1

Given

Solution

`\begin{gathered} SINCE\text{ is similar pentagon} \\ AB\text{ is similar to PQ} \\ AE\text{ is similar to PT} \\ (AB)/(AE)=(PQ)/(PT) \\ (2)/(3)=(x)/(2.7) \\ \text{cross multiply} \\ 3x=2*2.7 \\ 3x=5.4 \\ \text{divide both sides by 3} \\ (3x)/(3)=(5.4)/(3) \\ \\ x=1.8 \end{gathered}`

The final answer

`x=1.8`