#### Answer

96$cm^{2}$

#### Work Step by Step

You need to find the length of the other diagonal. Use the Pythagorean Theorem. You know one side of the right triangle is 8 cm (1/2 of 16), and the hypotenuse is 10 cm.
$a^{2}$+$b^{2}$=$c^{2}$
$8^{2}$+$b^{2}$=$10^{2}$
64+$b^{2}$=100
$b^{2}$=36
b=6
The shorter diagonal is twice the length just found: 6 x 2=12
A=$\frac{1}{2}$$d^{1}$$d^{2}$
A=$\frac{1}{2}$(16)(12)
A=96