Android SDK location
Try to open the Android Sdk manager and the path would be displayed on the status bar.
The Android SDK path is usually C:\Users\<username>\AppData\Local\Android\sdk
.
Do you have a screen of the content of your folder? This is my setup:
I hope these screenshots can help you out.
Update v3.3
Update:
Android Studio 3.1 update, some of the icon images have changed. Click this icon in Android Studio.
Original:
Click this icon in Android Studio for the Android SDK manager
And your Android SDK Location will be here