If pqrs is a rectangle pr=9x+1 qs=13x-11 find tr

Question

asked Feb 24, 2022 64.5k views

2 Answers

Dave · Answer 1 · 2022-03-01T11:26:40+0000

Answer:

PR = 28

Explanation:

Since PQRS is a rectangle, the diagonals PR and QS should have the same length. Therefore it holds:

$9 x + 1 = 13 x - 11 \iff (13 - 9) x = 1 + 11 \iff x = (12)/(4) = 3$

So,
$PR = QS = 9 \cdot 3 + 1 = 28$ .

You meant PR, right? I don’t know what “tr” is.