Question

find cd in parallelogram cdef.
cd =
submit

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent, so $DE = CF$. Since $CF$ is opposite to $DE$, and $CD$ is opposite to $EF$, we use $DE = EF$? No, correct: $CD = EF$ and $DE = CF$. So $3s-29 = 5s-83$.

Step2: Solve for $s$

Rearrange to isolate $s$:
$83 - 29 = 5s - 3s$
$54 = 2s$
$s = \frac{54}{2} = 27$

Step3: Calculate length of $CD$

Substitute $s=27$ into $CD = 4s-62$:
$CD = 4(27) - 62$

Answer:

$CD = 108 - 62 = 46$