Border around texture, OpenGL - c++

Question

This is a code I use to draw rectangle in my program:
glBegin(GL_QUADS);
glTexCoord2f(0.0f, maxTexCoordHeight); glVertex2i(pos.x, pos.y + height);
glTexCoord2f(0.0f, 0.0f); glVertex2i(pos.x, pos.y);
glTexCoord2f(maxTexCoordWidth, 0.0f); glVertex2i(pos.x + width, pos.y);
glTexCoord2f(maxTexCoordWidth, maxTexCoordHeight); glVertex2i(pos.x + width, pos.y + height);
glEnd();
It draws just a simple rectangle with specified texture, e.g. like this:
I'd like to ask if it's possible in OpenGL to achieve border effect like this:
As you see inside this tile there's just a plain blue background which could be handled separately - just automatically resized texture. This can be achieved easily with a code snippet I gave, but the problem is with border.
If the border was supposed to be one color, I could try drawing empty, not-filled rectangle by using GL_LINES around my texture, but it's not.
Also if tiles were always with a fixed size, I could prepare a texure that would match it, but they HAVE TO be easily resizable without changing a bitmap file I use as texture.
So if it's not possible with basic OpenGL functions, what are the approaches to achieve this effect that would be most efficient and/or easy?
EDIT: It has to be 2D.

Answer 1

This is a classical problem of GUIs with OpenGL and is often solved using the 9-cell-pattern. In this, you add the effect to the original image (or define it by other opengl-parameters) and split the rendered quad in nine quads: three rows and three columns.
You then make the height of the upper and bottom row fixed, as you make the width of the left and the right column fixed. The center quad is scaled so that your object fits the rectangle you want to fit. You then map only the border parts of the texture to the quads forming the outer cells, while you map the center of the texture to the center quad.
Related to what was said in the comments, you could also use actual 3D effects by making the quad 3D. Noone forces you to use perspectivic projection in that case, you can stay with Orthogonal projection (2D-Mode). OpenGL will always do 3D-calculations anyways.

Answer 2

Aside from Jonas's answer, which is excellent, I want to add two more options.
The first one is to just make the texture look like your desired square. No fancy code necessary if you can do it in photoshop ;).
The second one is to complicate your drawing code a bit. If you look at your image you can see that every "side-slope" of your square can be drawn with two triangles. You can make your code draw 10 triangles instead of one square and use a different color for each group of two triangles:
draw() {
GLFloat i = <your_inset_here>;
//top border part, top left triangle
glColor3f(<color_0>);
glVertex2f(pos.x, pos.y);
glVertex2f(pos.x + w, pos.y);
glVertex2f(pos.x + i, pos.y + i);
//top border part, bottom right triangle
glVertex2f(pos.x + w, pos.y);
glVertex2f(pos.x + w - i, pos.y + i);
glVertex2f(pos.x + i, pos.y + i);
//repeat this process with the other coordinates for the other three borders
// draw the middle square using {(pos.x+i,pos.y+i),(pos.x+w-i,pos.y+i),(pos.x+w-i,pos.y+h-i),(pos.x+i,pos.y+h-i)} as coordinates
}
You can further improve this by creating a function to draw an irregularly shaped quad with the give coordinates and a color and call that function 5 times.