Choice c us the correct answer
Answer:
24 cm²
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)(2 cm) = 24 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
133 is dividable by 7 to get 19
143 is dividable by 11 to get 13
153 is dividable by 3 to get 51
so the only number left is 163