**CONCEPT: **The question tests on the basics of Geometry

**SOLUTION: **

Perimeter of the rectangle = 2*(L+B)

= 2*(8+5)=26 units

Given, the parallelogram has the same perimeter as the rectangle.

Hence, GF + FE + ED + DG = 26

Opposite sides are congruent and hence we can rewrite the equation as

6 + EF +6 +DG = 26 =>EF + DG =14 and since opposite sides are congruent

We have EF = 14/2 = 7 units. (OPTION B)