Question

The figure is drawn on centimeter grid paper. Find the perimeter of the shaded figure to the nearest tenth.

A. 17.6 cm
B. 10.8 cm
C. 15.6 cm
D. 18.0 cm

Answer 1

I hope this helps you

Answer 2

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.