Assignment: Area of Fun
1. Some of the letters of the alphabet have symmetry. Organize the letters in the chart below under the columns of vertical symmetry, horizontal symmetry, or both.
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
2. Your teacher has asked you to writea small lesson on finding the area of a regular octagon. She gives you the following diagram and asks you to use this diagram in your lesson as an example.
Your lesson should include these two parts:
A. Explanation of how to find the area of any regular polygon.
B. Calculation of the area of the regular octagon provided above.Be sure to write the formula first and to show all your work.
3. A triangle has an area of 9m2and a base of 6m.
A. Determine the value of the height of this triangle. Explain your steps.
B. Using the figure pictured below, sketch in where the height measurement would be located.
4. Using the figure below, and knowing that the area of this trapezoid is 148.5 in2,determine the value of x (the length of the base of the trapezoid).
5. You have a kite whose diagonals are 8 m and 22 m.
A. Draw a figure that models this situation and label the diagonals.
B. Find the area of the kite. Remember to show all of your work.