Answer:
24.8cm
Explanation:
To find the perimeter of the compound shape we first jave to find distance DE. For this we can use pythagoras theorem which states that the square of the longest side of a RIGHT-ANGLED TRIANGLE (which is opposite the right angle) is equal to the sum of the squares of the two adjuscent sides.
USING TRIANGLE EFD
ED² = EF²+FD² (Pythagoras theorem)
ED² = 6²+5²
ED²=61
find the square root of both sides to find distance ED

ED= 7.8 cm
Add up all the distances on the exterior edges of the shape to find the perimeter.
6cm+3cm+5cm+3cm+7.8cm=24.8cm