M.7.3.2.4
1)
Area of Trapezoid
Without looking up the formula, describe below, in your own words, how you could find the area of ANY TRAPEZOID in terms of both its bases and its height.
In the trapezoid above, suppose base_1 = 6 cm, base_2 = 3 cm, and height = 6 cm. What would the area of the trapezoid be?
2)
For a school dance, a section of the gymnasium has been designated as the dance floor. Ms. Picciuto needs to determine the area of the dance floor so she will know how many students can dance at one time. What is the area of the dance floor?
3)
The area of a trapezoid is 39 square meters. The trapezoid has two bases that measure 8 meters and 18 meters. What is the height in meters of the trapezoid?
4)
Area of Rhombus
Suppose a rhombus has diagonal lengths labeled d1 and d2 . Try to write an expression for the area of this rhombus in terms of d1 & d2 .
Suppose, in the applet above, the segment with single-tick label has a length of 4 cm. Suppose the segment with the double-tick label has a length of 8 cm. What would the area of this entire rhombus be?
5)
The area of a rhombus is 90 square units. If one diagonal is 10 units, find the length of the other diagonal.
6)
The diagonals of the rhombus shaped tiles are 10 cm and 20 cm. A 24m2 kitchen floor will be covered with these rhombus shaped tiles. How many tiles will be needed?