Option C:
Length of BC = 27
Solution:
Given lengths of the sides are:
AB = 2x, DC = x + 17, AD = x + 10, BC = ?
Quadrilateral ABCD is a parallelogram.
In parallelogram, opposite sides are congruent.
AB = DC and BC = AD
<u>Let us first find x:</u>
AB = DC
⇒ 2x = x + 17
⇒ 2x – x = 17
⇒ x = 17
<u>Let us find AD:</u>
⇒ AD = x + 10
⇒ = 17 + 10
⇒ AD = 27
We know that, opposite sides are congruent.
BC = AD
BC = 27
Option C is the correct answer.
Hence length of BC = 27.
