Data:
A (Area) = 94 ft²
D (long diagonal ) = 18 ft
d (lenght diagonal ) = ?
The area of the diamond can be calculated using the following formula.
\(A = \frac{D*d}{2}\)
Solving:
\(A = \frac{D*d}{2}\)
\(94 = \frac{18*d}{2}\)
\(94 = \frac{18d}{2}\)
multiply cross
\(18d = 94*2\)
\(18d = 188\)
\(d = \frac{188}{18}\)
\(\boxed{\boxed{d \approx 10.4\:ft}}\end{array}}\qquad\quad\checkmark\)
