Question

Help me on this question please

Answer 1

Because PQRS is a parallelogram, you know that
`2x-1=y-1` and
`3y-11=x+4`. (This is because PT and TR are congruent, and the same goes for ST and TQ.)

Writing the equations in standard form, you have


`\begin{cases}2x-y=0\\x-3y=-15\end{cases}`

Solving this system gives
`x=3` and
`y=6`. So,


`PT=TR=5`

`ST=TQ=7`