The area of a rhombus is given by the half the product of its two diagonals.
We can see that AC is composed by two parts measuring 14m, so AC = 28m.
Similarly, BD is composed by two parts long 19m each, so BD = 38m.
Half their product is thus
[tex] A = \frac{\overline{AC}\cdot \overline{BD}}{2} = \frac{28\cdot 38}{2} = 14\cdot 38 = 532 [/tex]
