Question

Help me with this parallelogram please :)

Answer 1

The opposite sides of parallelogram are equal in length, so we can infer that :

• BC = AD

now, let's solve for value of x :

• 
  `9x - 4 = 6x + 14`

• 
  `9x - 6x = 14 + 4`

• 
  `3x = 18`

• 
  `x = 18 / 3`

• 
  `x = 6`

we have to find the measure of AD,

• 
  `6x + 14`

Plugging the value of x as 6 :

• 
  `(6 * 6) + 14`

• 
  `36 + 14`

• 
  `50`

The Correct option is D. 50

Answer 2

Parallel sides of parallelogram are equal in length

`\\ \sf\longmapsto AD=BC`

`\\ \sf\longmapsto 6x+14=9x-4`

`\\ \sf\longmapsto 9x-6x=14+4`

`\\ \sf\longmapsto 3x=18`

`\\ \sf\longmapsto x=6`

AD=6x+14=6(6)+14=36+14=50

Option D