On a coordinate plane, triangle R S T has points (0, 4), (0, negative 2), and (3, negative 2). △RST is dilated with the rule DT,1/3 (x, y), where the center of dilation is T(3, –2). The distance between the x-coordinates of R and T is . The distance between the y-coordinates of R and T is . R' is from T, so the coordinates of R' are .

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.