Areas of Polygons (Grade 6)

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Areas of Polygons

1. 
Which of the following describes a correct method of finding the area of a trapezoid?
Trapezoid
  1. compose a right triangle, find its area, then divide the area by 2
  2. compose a parallelogram, find its area, then divide the area by 2
  3. decompose into 2 right triangles, find the area of 1 triangle, then multiply the area by 2
  4. decompose into 2 parallelograms, find the area of 1 parallelogram, then multiply the area by 2
2. 
Calculate the area of the trapezoid if [math]bar(AD)[/math] measures 10 cm, [math]bar(BC)[/math] measures 8 cm and the height is 5 cm.
Trapezoid ABCD
  1. [math]40 cm^2[/math]
  2. [math]45 cm^2[/math]
  3. [math]50 cm^2[/math]
  4. [math]90 cm^2[/math]
3. 
What is the area of a triangle with a base of 16 inches and a height of 12 inches?
  1. 96 square inches
  2. 48 square inches
  3. 36 square inches
  4. 86 square inches
4. 
[math]bar (BC)[/math] measures 12 m and [math]bar (AB)[/math] measures 4 m.
What is the area of right triangle ABD?
Rectangle ABCD
  1. [math]16 m^2[/math]
  2. [math]24 m^2[/math]
  3. [math]32 m^2[/math]
  4. [math]48 m^2[/math]
5. 
The length of [math]bar (AD[/math] is 12 units and the height of the parallelogram is 6 units. What is the area of triangle BCD?
Parallelogram ABCD v3
  1. [math]18 units^2[/math]
  2. [math]30 units^2[/math]
  3. [math]36 units^2[/math]
  4. [math]72 units^2[/math]
6. 
Triangles ABF and ECD are congruent. If triangle ECD has an area of 15 square cm and trapezoid ABCD has an area of 80 square cm, what is the area of trapezoid FBCE?
Trapezoid ABCDEF
  1. 30 square cm
  2. 50 square cm
  3. 65 square cm
  4. 90 square cm
7. 
Use the following information to find the area of pentagon ABCDE:

[math]bar(BD) = 8 cm[/math]
[math]bar(AE) = 6 cm[/math]

The height of triangle BCD is 3 cm
The height of trapezoid ABDE is 5 cm
Pentagon  ABCDE
  1. [math]12 cm^2[/math]
  2. [math]22 cm^2[/math]
  3. [math]35 cm^2[/math]
  4. [math]47 cm^2[/math]
8. 
The area of square ABCD is 64 square units. What is the area of triangle ACD?
Square Rotated ABCD
  1. 16 square units
  2. 24 square units
  3. 32 square units
  4. 40 square units
9. 
Find the area of triangle where the base is 6 in and height is 5 in.
Right Triangle v1



10. 
The height of parallelogram ABED is 7 inches. [math]bar(AC[/math] is 3 inches and [math]bar(AD[/math] is 12 inches. What is the area of parallelogram BCDF?
Parallelogram ABCDEF v1



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