I don't think intervention image library has this option in their resize function. you can use getimagesize()
php function to get the height and width and divide width with 5 (in your case its 5 because you want 5:1) to get the height.
$image=getimagesize($image_file);
$width=$image[0]; // $image[0] is the width
$height=$image[0]/5; // $image[1] is the height
Than you can just use your intervention's resize()
function to resize to that height and width.
Image::make($source_image)
->resize($width,$height ,false,false)
->save($destination);`