Question

the area of this rhombus is 140 square millimeters. one of its diagonals is 35 millimeters. what is the length of the missing diagonal, d?
\boxed{} millimeters

Explanation:

Step1: Recall rhombus area formula

The area of a rhombus is $A = \frac{1}{2} \times d_1 \times d_2$, where $A=140$ mm², $d_1=35$ mm, $d_2=d$.

Step2: Rearrange formula to solve for $d$

Rearrange to isolate $d$: $d = \frac{2A}{d_1}$

Step3: Substitute values and calculate

Substitute $A=140$, $d_1=35$:
$d = \frac{2 \times 140}{35} = \frac{280}{35}$

Answer:

8 millimeters