JSFiddle - React, Tailwind, and code Playground

HTML

<form id="" action="" method="post">
    <div id="searchwrap">    
        <label for="search">Search</label>
        <input type="text" id="search" name="search" value="" />
        <input type="submit" name="searchsub" class="searchsub" value="" />
    </div>
</form>

CSS

#searchwrap
{
    display: inline-block;
    border: 1px solid #333;
    padding: 0 10px;
}
#search {
    width:150px;
    height:36px;
    border:0;
}

input.searchsub {
    width:23px;
    height:23px;
    background:red url();   // added red as i dont have your image
    margin:8px 0 0 0px;
    cursor:pointer;
}