Question

the area of a rhombus is 65 square units. the length of one diagonal is 13 units. what is the length of the other diagonal?
5 units
6 units
10 units
12 units

Explanation:

Step1: Recall rhombus area formula

The area of a rhombus is given by $A = \frac{d_1 \times d_2}{2}$, where $d_1$ and $d_2$ are the lengths of the diagonals.

Step2: Plug in known values

Substitute $A=65$ and $d_1=13$ into the formula:
$65 = \frac{13 \times d_2}{2}$

Step3: Solve for $d_2$

Multiply both sides by 2: $130 = 13 \times d_2$
Divide both sides by 13: $d_2 = \frac{130}{13} = 10$

Answer:

10 units