Area of trapezoids, rhombi, and kites

The topic  is a topic under the 6th Grade Math Mission. This exercise practices finding the area of various quadrilaterals.

Types of Problems
There are three types of problems in this exercise:


 * 1) Find the area of the trapezoid: This problem provides a picture of a trapezoid. The student is asked to correctly find the area of the trapezoid and write the answer in the space provided.Aotrak1.png
 * 2) Find the area of the parallelogram: This problem provides a picture of a parallelogram. The student is asked to correctly find the area of the parallelogram and write the answer in the space provided.Aotrak2.png
 * 3) Find the area of the kite/rhombus: This problem provides a picture of a kite or rhombus. The student is asked to correctly find the area of the kite or rhombus and write the answer in the space provided.Aotrak3.png

Strategies
Knowledge of the area formulas for quadrilaterals is necessary before beginning on this exercise. Knowing the different properties among quadrilaterals based on the quadrilateral hierarchy can also help.
 * 1) The formula for the area of a trapezoid is half the product of the height and the sum of the bases, i.e., $$ \frac{1}{2} * (b_1+b_2)*h $$.
 * 2) The formula for the area of a parallelogram is base times height
 * 3) The formula for the area of a rhombus or a kite is half the product of the diagonals.
 * 4) A rhombus is a special type of a kite.
 * 5) The title of the exercise does not indicate that general parallelograms will show up, but they do, so be prepared.