The length of a rectangle with an area of 1 square foot and a height of 6 inches is 2 feet, after converting the height to feet to match the unit of the area.
The length of the rectangle can be found by using the formula for the area of a rectangle, which is Area = Length × Height. Given the area is 1 square foot and the height is 6 inches, we first need to convert the height into feet to match the units of the area. Since there are 12 inches in a foot, 6 inches is equal to 0.5 feet (6 inches ÷ 12 inches/foot).
We can now set up the equation using the area and the height to find the length:
1 square foot = Length × 0.5 feet
Dividing both sides by 0.5 feet gives us:
Length = 1 square foot ÷ 0.5 feet
Length = 2 feet
The length of the rectangle is therefore 2 feet.