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I have some recommendations for your question:

First: stop using query_posts(). See the codex about this function to see why you shouldn't use it in themes or plugins. Anyway, if you are in a some weird situation where you have not option and you need to use query_posts(), you should run wp_reset_query() after the loop. You must know that you are using the global $wp_query, that contains the original query made by WordPress, and then query_post that alter the global $wp_query variable, you end up with unexpected results. Additionally, you are using a deprecated parameter showposts, replaced by posts_per_page.

Second: you can use a custom search template (search.php) to customize the look and feel. Just cerate a search.php file in your theme folder and customize it as you want. Don't make custom queries here; if you do that, you are making a new query for posts and wasting the query already done by WordPress. A waste of resources with negative performance impact.

Third: to change the default query parameters used by WordPress, like number of posts per page, etc, you can use pre_get_posts action.

So, create a your search.php template as you wish and use pre_get_posts action to say to WordPress what parameters you want to use in the search query:

The search.php template could be something like this:

<?php
get_header();
?>
<div class="wapper">
  <div class="contentarea clearfix">
    <div class="content">
      <h1 class="search-title"> <?php echo $wp_query->found_posts; ?>
        <?php _e( 'Search Results Found For', 'locale' ); ?>: "<?php the_search_query(); ?>" </h1>

        <?php if ( have_posts() ) { ?>

            <ul>

            <?php while ( have_posts() ) { the_post(); ?>

               <li>
                 <h3><a href="<?php echo get_permalink(); ?>">
                   <?php the_title();  ?>
                 </a></h3>
                 <?php  the_post_thumbnail('medium') ?>
                 <?php echo substr(get_the_excerpt(), 0,200); ?>
                 <div class="h-readmore"> <a href="<?php the_permalink(); ?>">Read More</a></div>
               </li>
                    
            <?php } ?>

            </ul>

           <?php echo paginate_links(); ?>
  
        <?php } ?>

    </div>
  </div>
</div>
<?php get_footer(); ?>

And the pre_get_posts action something like this:

add_action( 'pre_get_posts', function( $query ) {

    // Check that it is the query we want to change: front-end search query
    if( $query->is_main_query() && ! is_admin() && $query->is_search() ) {

        // Change the query parameters
        $query->set( 'posts_per_page', 3 );

    }

} );