Answer as an improper fraction: 800/9 square inches
Answer as a mixed number: 88 & 8/9 square inches
Answer as a decimal: 88.888... square inches
Work Shown
Let's use the formula
a & b/c = (a*c+b)/c
to convert from a mixed number to improper fraction
6 & 2/3 = (6*3+2)/3
6 & 2/3 = 20/3
The width is 20/3 inches. The length is double that, so it is 40/3 inches.
area = length*width
area = (20/3)*(40/3)
area = 800/9 square inches
Let's convert that to a mixed number.
800/9 = (792 + 8)/9
800/9 = (792/9) + (8/9)
800/9 = 88 + (8/9)
800/9 = 88 & 8/9
We have 88 full square inches of area. Then there's an additional 8/9 of a square inch of extra area.
In terms of a decimal, 800/9 = 88.888... where the 8s repeat forever. It's possible that your calculator will round at some point. So for instance it might show 88.8888888888889