Okay, well the first thing you need to learn about are Nine-Patches. There's an awesome generator here made by @RomanNurik that can help you generate the assets from your source images.
For your particular layout (which you probably want to make more adaptable to larger screen sizes) the general idea of the layout would be something like this:
<?xml version="1.0" encoding="utf-8"?>
<RelativeLayout
xmlns:android="http://schemas.android.com/apk/res/android"
android:id="@+id/root"
android:layout_width="match_parent"
android:layout_height="match_parent">
<ImageView
android:id="@+id/footer"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:adjustViewBounds="true"
android:layout_alignParentBottom="true"
android:src="@drawable/my_footer"
android:scaleType="centerCrop" />
<LinearLayout
android:id="upper_container"
android:layout_width="match_parent"
android:layout_height="match_parent"
android:layout_above="@id/footer"
android:orientation="horizontal"
android:weightSum="10">
<LinearLayout
android:id="button_header_container"
android:layout_width="0dp"
android:layout_height="match_parent"
android:layout_weight="8"
android:paddingTop="16dp"
android:paddingBottom="16dp"
android:orientation="vertical">
<ImageView
android:id="@+id/header"
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:adjustViewBounds="true"
android:layout_marginBottom="16dp"
android:src="@drawable/header"
android:scaleType="centerCrop" />
<Button
android:id="@+id/button1"
android:layout_width="match_parent"
android:layout_height="44dp"
android:layout_marginBottom="16dp"
android:background="@drawable/my_button_nine_patch"
android:gravity="center"
android:text="Navigation Button" />
<Button
android:id="@+id/button2"
android:layout_width="match_parent"
android:layout_height="44dp"
android:layout_marginBottom="16dp"
android:background="@drawable/my_button_nine_patch"
android:gravity="center"
android:text="Navigation Button" />
<!-- Etc. for other buttons -->
</LinearLayout>
</LinearLayout>
</RelativeLayout>