To find the area of a rhombus, we can use the formula for the area given by:
[tex]\[ \text{Area} = 0.5 \times d_1 \times d_2 \][/tex]
where [tex]\( d_1 \)[/tex] and [tex]\( d_2 \)[/tex] are the lengths of the diagonals of the rhombus.
Given that the lengths of the diagonals are:
[tex]\[ d_1 = 45.50 \, \text{cm} \][/tex]
[tex]\[ d_2 = 32.40 \, \text{cm} \][/tex]
We substitute these values into the formula:
[tex]\[ \text{Area} = 0.5 \times 45.50 \, \text{cm} \times 32.40 \, \text{cm} \][/tex]
This simplifies to:
[tex]\[ \text{Area} = 0.5 \times 1474.2 \, \text{cm}^2 \][/tex]
[tex]\[ \text{Area} = 737.1 \, \text{cm}^2 \][/tex]
Therefore, the area of the rhombus is [tex]\( 737.1 \, \text{cm}^2 \)[/tex].
