Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons. A small pentagon has a bottom side length of x centimeters and left side length of 3 centimeters. A larger pentagon has a bottom side length of 8 centimeters and left side length of 12 centimeters. Write a proportion. StartFraction 3 over 12 EndFraction = StartFraction x over 8 EndFraction Cross multiply. 8 x = 36 Solve for x. x = 4.5 Not drawn to scale What error did Paolo make in his solution? Paolo set up an incorrect proportion. Paolo made an error when he cross multiplied the proportion. Paolo divided incorrectly when he solved for x. Paolo multiplied instead of divided when he solved for x.

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?