To solve this problem, first let us calculate for the total space of the storage area:
Total storage space = (6 square feet / person) (12 persons)
Total storage space = 72 square feet
Since this storage space is only equivalent to 15% of the total garage space, therefore we can write the equation:
(0.15) total space = total storage space
total space = total storage space / 0.15
Then calculating for the total space by substitution of the variable:
total space = 72 square feet / 0.15
total space = 480 square feet
Therefore Mr. Thompson has a total space of 480 square feet.