Answer:
Option A. 17.6 cm
Explanation:
Now if we redraw the figure as figure attached.
Rectangle ABCD can be divided in three triangles
Now we apply Pythagoras theorem in ΔAED to get the measure of side DE
DE = √(7² + 3²) = √(49+9) = √58 = 7.62 cm
Now we apply Pythagoras theorem in ΔCDF to get the measure of side DF
DF = √(4²+ 3²) = √(16+9) = 5 cm
Now we calculate the perimeter of EBFD
Perimeter of the shaded figure = mEB + mBF + mFD + mDE
= 1 + 4 + 5 + 7.6 = 17.6 cm
Therefore Option A. 17.6 is the answer.