suppose a county’s recent health report gives a pet allergy prevalence of 0.15 for kids. there is a new at-home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet allergy. the probability that the test gives a positive result when a child really does not have a pet allergy is 0.07. the probability that the test gives a negative result when a child really does have a pet allergy is 0.22. the tree diagram shows the possible outcomes with the associated probabilities.

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?