Arestaurant did a survey among 100 customers to find their food preferences. the customers were asked about their preferences for pasta or rice. out of the total 30 people who liked pasta, 10 liked rice also. there were 40 people who liked rice.

part a: summarize the data by writing the values that the alphabets a to i in the table below represent. (5 points)

like pasta do not like pasta total
like rice a b c
do not like rice d e f
total g h i

part b: what percentage of the total people did not like either pasta or rice? (3 points)

part c: do the people surveyed have more dislike for rice than pasta? justify your answer. (2 points)

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?