How would you find the area in this regular polygon

This is a pentagon, with five equal central angles.  Each central angle is 360 degrees/5 = 72 degrees.

The pentagon has five pie-shaped pieces, each with an angle of 72 degrees and two other angles, which are equal, of 54 degrees.

The "base" of each such triangular (pie-shaped) pieces is 5.

Use this info to find the area of ONE of these pieces.

Then multiply your result by 5 to obtain the total area of this pentagon.

You have 2 sides that are 2 cms and you have 6 sides that are 1/2 cm and you have 4 sides that are 1 cm. the smallest sides are 1/2 the medium sized sides are 1 and the smallest are 1/2. so to find the perimeter you have to add them all up together so your answer will be 11 cm's