The length of the diagonal of this rectangular prism is equal to 9.5 feet.
How to calculate the length of the diagonal?
In order to determine the length of the diagonal (D) of this rectangular prism, we would first of all determine the diagonal of the base by applying Pythagorean theorem:
d² = l² + b²
d² = 4² + 7²
d² = 16 + 49
d² = 65
d = √65
Now, we can determine the length of the diagonal of this rectangular prism:
D² = d² + h²
D² = √65² + 5²
D² = 65 + 25
D² = 90
D = √90
Diagonal, D = 9.5 feet.
Thus, the length of the diagonal of this rectangular prism is equal to 9.5 feet.
The missing diagram is below: