Question

Can you please help me

Answer 1

Step 1: Write out the formula for finding the area of a rhombus

`\begin{gathered} \text{Area }=(AC* DB)/(2) \\ \text{ Where} \\ AC\text{ and DB are the diagonals of the rhombus } \end{gathered}`

Step 2: Substitute the given values to find AC

`\begin{gathered} \text{ Area }=45\text{ square units} \\ DB=6\text{units} \end{gathered}`

Therefore,

`\begin{gathered} (6AC)/(2)=45 \\ 3AC=45 \\ \text{ Dividing both by 3, we have} \\ (3AC)/(3)=(45)/(3) \\ AC=15 \end{gathered}`Hence, AC is 15 units