home economics room
Refers to the specialized classroom in a school where home economics (家庭科) is taught, typically equipped with cooking and sewing facilities.
We had a cooking class in the home economics room.
家庭科 is the subject 'home economics', while 家庭科室 is the physical room where the subject is taught.
Compound of 家庭科 (home economics) + 室 (room).