Question 1 A parallelogram is shown below:

A parallelogram ABCD is shown with DC equal to 8 feet and the perpendicular distance between AB and DC equal to 3 over 4 foot.

Part A: What is the area of the parallelogram? Show your work. (5 points)

Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Question 2
The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 7.8 inches and the length of each side is 9 inches.

A hexagon labeled ABCDEF is shown will all 6 sides equal in length. ED is labeled as 9 inches. A perpendicular is drawn from the center of the hexagon to the side ED. This perpendicular is labeled as 7.8 inches.

Part A: Describe how you can decompose this shape into triangles. (2 points)

Part B: What would be the area of each triangle? (5 points)

Part C: Using your answers above, determine the area of the table's surface. (3 points)

Question 3
Question 3 (Essay Worth 10 points)
(05.05 HC)

Figure ABCDE has vertices A(−2, 3), B(2, 3), C(5, −2), D(0, −4), and E(−2, −2). Plot the points on your own coordinate grid and connect the points in alphabetical order. Decompose Figure ABCDE into rectangles and triangles.

Part A: How many triangles and rectangles did you make? (1 point)

Part B: Use Figure ABCDE created on your coordinate grid to find the lengths, in units, of Sides AB and AE. (4 points)

Part C: What is the area of Figure ABCDE? Show your work. (5 points)

Question 4
A prism and two nets are shown below:

Image of a right triangular prism and 2 nets. The triangle bases have base 4, height 3, and diagonal side 5. The length of the prism from the bases is 9.4. Net A has 3 rectangles in a row. The middle one has sides AC and CD. This middle one has triangle ABC on top and identical triangle below. Net B is the same except that the triangle base ABC is on top of the last rectangle which has sides AC and CD. Units are in inches.

Part A: Which is the correct net for the prism? Explain your answer. (2 points)

Part B: Write the measurements of Sides AB, BC, and CD of the correct net. (4 points)

Part C: What is the surface area of the prism? Show your work. (4 points)