To solve this we are going to use the formula for the area of a rhombus: [tex]A= \frac{pq}{2} [/tex]
where
[tex]A[/tex] is the area of the rhombus
[tex]p[/tex] is a diagonal of the rhombus
[tex]q[/tex] is a diagonal of the rhombus
We know from our problem that the diagonals of our rhombus are 14 cm and 12 cm, so [tex]p=14cm[/tex] and [tex]q=12cm[/tex]. Lets replace those values in our formula to find [tex]A[/tex]:
[tex]A= \frac{(14cm)(12cm)}{2} [/tex]
[tex]A=84cm^2[/tex]
We can conclude that the correct answer is: 84 square cm
