Question

In square $PQRS$
if $PQ=3x-7$ and $QR=x+3$; find $PS$

Answer 1

In the square, all sides are of equal length

$\Rightarrow PQ=QR\Rightarrow 3x-7=x+3\Rightarrow 2x=10\to x=5$

$\to PS=PQ=3\left(5\right)-7=15-7=8$