Question

find vw and vy in rectangle vwxy.
vw =
vy =

Explanation:

Step1: Set equal opposite sides

In a rectangle, opposite sides are congruent, so $VW = YX$:
$$2s-26 = 4s-70$$

Step2: Solve for $s$

Rearrange to isolate $s$:
$$-26 + 70 = 4s - 2s$$
$$44 = 2s$$
$$s = 22$$

Step3: Calculate length of $VW$

Substitute $s=22$ into $VW=2s-26$:
$$VW = 2(22)-26 = 44-26$$

Step4: Calculate length of $VY$

In a rectangle, opposite sides are congruent, so $VY = WX$. Substitute $s=22$ into $WX=2s-35$:
$$VY = 2(22)-35 = 44-35$$

Answer:

$VW = 18$
$VY = 9$