Question

how can you find the perimeter of the rhombus?
find $\frac{1}{2}(qs)(rt)$
find $\frac{1}{2}(qt)(ts)$
use the distance formula to find qt, then multiply by 4.
use the distance formula to find qt and qr, add the distances, then multiply by 4

Explanation:

Step1: Recall property of rhombus

A rhombus has all - sides equal.

Step2: Identify perimeter formula

The perimeter \(P\) of a rhombus with side - length \(s\) is \(P = 4s\).

Step3: Determine side - length

To find the side - length of the rhombus, we can use the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\) to find the length of one side (e.g., \(QT\)). Then, since all sides are equal, we multiply the length of one side by 4 to get the perimeter.

Answer:

Use the distance formula to find QT, then multiply by 4.