Answer:
9 ft
Step-by-step explanation:
The area of a rectangle is given by the formula ...
A = bh . . . . . area is the product of base and height
Filling in the known numbers, we can solve for the unknown value.
30 ft² = (3 1/3 ft)h
(30 ft²)/(3 1/3 ft) = h . . . . . divide by the coefficient of h
We recognize that 3 1/3 is 10/3, and that division by a fraction is the same as multiplication by its reciprocal, so we have ...
h = (30 ft²)/(10/3 ft) = (30)(3/10) ft
h = 9 ft
The correct height is 9 feet.
