Anda tidak dapat mengakses alias secara langsung dengan nama.
Salah satu solusinya adalah membungkus kueri dengan alias dalam subkueri, lalu merujuk ke nama alias di kueri luar:
SELECT DISTINCT *
FROM
(
SELECT c.id,
((SUM(c.width_feet)*12)+(SUM(c.width_inches))) AS width,
((SUM(c.height_feet)*12)+(SUM(c.height_inches))) AS height
FROM carpets AS c
WHERE c.active = '1'
) sub
WHERE (sub.width BETWEEN '0' AND '275')
AND (sub.height BETWEEN '0' AND '599')
ORDER BY sub.item_no