ANSWER
d1 = 2A/d2
d2 = 2A/d1
EXPLANATION
We have that the area of a rhombus is given as:
[tex]A\text{ = }\frac{1}{2}(d_1\cdot d_2)[/tex]We want to find the equivalent equations for d1 and d2.
To do this, all we have to do is make D1 and D2 subjects of the formula.
For d1:
[tex]\begin{gathered} A\text{ = }\frac{1}{2}(d_1\cdot d_2) \\ \Rightarrow\text{ 2 }\cdot A=(d_1\cdot d_2) \\ \Rightarrow d_1\text{ = }\frac{2A}{d_2} \end{gathered}[/tex]For d2:
[tex]\begin{gathered} A\text{ = }\frac{1}{2}(d_1\cdot d_2) \\ \Rightarrow\text{ 2 }\cdot A=(d_1\cdot d_2) \\ \Rightarrow d_2\text{ = }\frac{2A}{d_1} \end{gathered}[/tex]