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? millimeters

Explanation:

Step1: Recall area formula of rhombus

The area formula of a rhombus is $A=\frac{1}{2}d_1d_2$, where $A$ is the area, $d_1$ and $d_2$ are the lengths of the diagonals.

Step2: Substitute known values

We know that $A = 140$ square - millimeters and $d_1=35$ millimeters. Substituting into the formula gives $140=\frac{1}{2}\times35\times d_2$.

Step3: Solve for $d_2$

First, multiply both sides of the equation by 2 to get $280 = 35\times d_2$. Then divide both sides by 35: $d_2=\frac{280}{35}=8$ millimeters.

Answer:

8