Question

Drag the tiles to the correct boxes to complete the pairs

Answer 1

Step-by-step explanation

In the parallelogram;

`\begin{gathered} PT=TR \\ \Rightarrow a+4=2a \\ 2a-a=4 \\ a=4 \end{gathered}`

Also;

`\begin{gathered} QT=TS \\ \Rightarrow b=2b-3 \\ 2b-b=3 \\ b=3 \end{gathered}`

Therefore;

`\begin{gathered} PR=a+4+2a=3a+4=3(4)+4=12+4=16 \\ QS=2b-3+b=3b-3=3(3)-3=9-3=6 \end{gathered}`

Answer: a =4, PR=16, B=3, QS=6