Answer
96 $in^{2}$
Work Step by Step
Find the length of the other diagonal by using the Pythagorean Theorem.
$a^{2}$+$b^{2}$=$c^{2}$
$8^{2}$+$b^{2}$=$10^{2}$
64 + $b^{2}$=100
$b^{2}$=36
b=6
The diagonal is twice this length. 6x2=12
We use the formula for the area of a rhombus to obtain:
A=$\frac{1}{2}$($d_{1}$)($d_{2}$)
A=$\frac{1}{2}$(12)(16)
A=96
