I'm new to android, I want the following layout(See Image Below) for my bouncing ball game. Please tell me which layout to use.

I'll use a Vertical linearLayout split into two.
Something like this:
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:layout_width="fill_parent"
android:layout_height="fill_parent"
android:paddingLeft="16dp"
android:paddingRight="16dp"
android:orientation="vertical" >
<Button
android:layout_width="fill_parent"
android:layout_height="wrap_content"
android:layout_gravity="right"
android:text="PlayingArea" />
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:layout_width="fill_parent"
android:layout_height="wrap_content"
android:paddingLeft="16dp"
android:paddingRight="16dp"
android:orientation="horizontal" >
<Button
android:layout_width="100dp"
android:layout_height="wrap_content"
android:layout_gravity="right"
android:text="left_lower_box" />
<Button
android:layout_width="100dp"
android:layout_height="wrap_content"
android:layout_gravity="right"
android:text="right_lower_box" />
</LinearLayout>
</LinearLayout>
This is just a sample; you'll probably not use buttons for your app and you need to set heights and widths.