TypeInitializationException accessing MonoGame GraphicsAdapter.Adapters, could not load type 'SharpDX.Rectangle' - monogame

Question

Converting VB code from XNA 3.1 to MonoGame.
Any attempt to access class GraphicsAdapter throws the exception below. For example, trying to enumerate GraphicsAdapters. On this line:
For Each adapter As GraphicsAdapter In GraphicsAdapter.Adapters
Result is an exception:
System.TypeInitializationException occurred
HResult=-2146233036
Message=The type initializer for 'Microsoft.Xna.Framework.Graphics.GraphicsAdapter' threw an exception.
Source=MonoGame.Framework
TypeName=Microsoft.Xna.Framework.Graphics.GraphicsAdapter
StackTrace:
at Microsoft.Xna.Framework.Graphics.GraphicsAdapter.get_Adapters()
at ...my code...
InnerException:
HResult=-2146233054
Message=Could not load type 'SharpDX.Rectangle' from assembly 'SharpDX, Version=4.0.1.0, Culture=neutral, PublicKeyToken=b4dcf0f35e5521f1'.
Source=MonoGame.Framework
TypeName=SharpDX.Rectangle
StackTrace:
at Microsoft.Xna.Framework.Graphics.GraphicsAdapter.CreateAdapter(Adapter1 device, Output monitor)
at Microsoft.Xna.Framework.Graphics.GraphicsAdapter.PlatformInitializeAdapters(ReadOnlyCollection`1& adapters)
at Microsoft.Xna.Framework.Graphics.GraphicsAdapter..cctor()
Note the inner exception:
Could not load type 'SharpDX.Rectangle' from assembly 'SharpDX, ...Version=4.0.1.0, ...
The project references these assemblies (among others):
MonoGame.Framework version=3.6.0.1625
from NuGet "MonoGame.Framework.WindowsDX", file
packages\MonoGame.Framework.WindowsDX.3.6.0.1625\lib\net40\MonoGame.Framework.dll
SharpDX version=4.0.1.0
SharpDX.Direct2D1 version=4.0.1.0
SharpDX.Direct3D9 version=4.0.1.0
SharpDX.DXGI version=4.0.1.0
SharpDX.Mathematics version=4.0.1.0
So I don't see why it would fail this way.
What could be wrong? Not compatible with this SharpDX version?
NOTE: These are all up-to-date packages from NuGet, in Visual Studio 2015. Targeting .Net 4.5.2.
UPDATE
To prove it isn't a problem with SharpDX, I put this line before that GraphicsAdapter line:
Dim testRect As SharpDX.Rectangle = New Rectangle()
This successfully created testRect. No Exception until attempt to access GraphicsAdapter. Also tried all the other Shared (static) properties of GraphicsAdapter, such as GraphicsAdapter.DefaultDevice. Any one fails with same exception.

Answer 1

I posted the same question to MonoGame forums:
http://community.monogame.net/t/solved-typeinitializationexception-accessing-graphicsadapter-adapters-could-not-load-type-sharpdx-rectangle/9803
Cause of problem:
Current release of MonoGame.Framework for WindowsDX (Windows OS + DirectX drivers), 3.6.0.1625 is built against SharpDX 2.6.3, and is not compatible with more recent SharpDX versions.
(Interim) Solution:
The developer branch of MonoGame does target the current SharpDX. Builds can be obtained from MonoGame's teamcity (free registration required).
Tested MonoGame.Framework build 3.7.0.994; it worked with SharpDX 4.0.1:
http://teamcity.monogame.net/viewLog.html?buildId=56483&tab=artifacts&buildTypeId=MonoGame_PackagingWindows
That build installs most SharpDX dlls to
C:\Program Files (x86)\MonoGame\v3.0\Assemblies\Windows
However, SharpDX.Mathematics.dll is currently missing,
so I still install SharpDX from NuGet, rather than using those.
Standard location for MonoGame releases:
(look for at least 3.7, which is not there yet, as I write this):
http://www.monogame.net/downloads/
(If instead of NuGet packages for MonoGame and SharpDX, I had downloaded MonoGame 3.6 installer and used its version of SharpDX dlls at C:\Program Files (x86)\MonoGame\v3.0\Assemblies\Windows, then I would not have had this incompatibility. However, that was not recent enough SharpDX for my purposes. This should be resolved by release of MonoGame 3.7)