If someone could give me the answer and step by step

101 cm (to 3 sf)

Step-by-step explanation:

-First you want to find side CD:

. Draw a line from point C directly down to make a right angled triangle (you can lable the extra point whatever letter you want but for this explanation it's gonna be x)

. You know that CX will be 16.7cm because its the same length as BA

. To find CD you need to use SOH,more specifically the hypotenuse using SOH

. H=O/S (O=16.7, S= sin(43))

.put this in your calculator and you'll get CD=24.4868624 (don't round yet)

-now you wanna find AD but more specifically XD because that's the little part you don't know:

. Using the same triangle from earlier, we use CAH now to find A (aka XD)

. A=C*H (C=cos(43), H=24.4868624 (the value of H/CD from the previous calculation)

. That should give you: 17.90855746

. You're still not done, do 17.90855746+21.2=39.10855746 (this is your value for AD

-add all your values now:

39.10855746+24.4868624+16.7+21.2=101.4954199

-now round to 3 significant figures:

101.4954199 -> 101cm

The perimeter is 101cm