Step-by-step explanation:
original length = 26 ft
original width = 22 ft
scale length = 13 in
1 ft = 12 in
26 ft = 26×12 = 312 in
so, the scale factor from reality to the scale drawing is
13/312 = 1/24
scale width = 22 ft × 12 × 1/24 = 11 in
the area of the floor in the scale drawing is
13 in × 11 in = 143 in²