The area of the rhombus is [tex]72 \ cm^2[/tex]
Explanation:
It is given that in a rhombus VWXY, the length of the diagonals are [tex]\mathrm{WY}=18 \ {cm}[/tex] and [tex]X V=8 \ {cm}[/tex]
The area of the rhombus can be determined by multiplying the diagonals and dividing by 2.
The area of the rhombus can be determined using the formula,
[tex]A=\frac{p q}{2}[/tex]
where p and q are diagonals of the rhombus.
Substituting the values in the formula, we have,
[tex]A=\frac{18\times 8}{2}[/tex]
Multiplying the numerator, we get,
[tex]A=\frac{144}{2}[/tex]
Dividing by 2, we have,
[tex]A=72 \ cm^2[/tex]
Thus, the area of the rhombus is [tex]72 \ cm^2[/tex]
