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find wx in rectangle vwxy. w v 7a+32 a+68 x 4a-5 y wx =

Question

find wx in rectangle vwxy. w v 7a+32 a+68 x 4a-5 y wx =

Explanation:

Step1: Set equal opposite sides

In a rectangle, opposite sides are congruent, so $a+68 = 4a-5$.

Step2: Solve for $a$

Rearrange to isolate $a$:
$68 + 5 = 4a - a$
$73 = 3a$
$a = \frac{73}{3}$

Step3: Calculate length of $WX$

Substitute $a$ into $7a+32$:
$WX = 7\times\frac{73}{3} + 32$
$WX = \frac{511}{3} + \frac{96}{3}$
$WX = \frac{607}{3}$

Answer:

$\frac{607}{3}$ (or $202\frac{1}{3}$ as a mixed number)