To find the area of a rhombus, we need to use the formula for it. This formula is:
[tex]A_{}=\frac{1}{2}(d_1\cdot d_2)[/tex]
Where:
d1 is one of the diagonal of the figure (a rhombus).
d2 is the other diagonal of the figure.
Then, we need to check from the figure the length of each diagonals:
• d1 = 6m + 6m ---> d1 = 12m
,
• d2 = 8m + 8m ---> d2 = 16m
Then, we have that the area of the rhombus is:
[tex]A=\frac{1}{2}\cdot(d_1\cdot d_2)=\frac{1}{2}\cdot(12m\cdot16m)=\frac{1}{2}\cdot(192m^2)=96m^2[/tex]
Therefore, the area of the rhombus is 96 sq. meters.
