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Common Core Standard 6.G.A.1 Questions

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

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Grade 6 Area CCSS: 6.G.A.1
A piece of square paper has a perimeter of 32 centimeters.
Nicky's dog, Rocky, tore off 1/4 of the paper.
What is the area of the remaining paper?
Square
  1. 5.66 centimeters squared
  2. 48 centimeters squared
  3. 16 centimeters squared
  4. 64 centimeters squared
Grade 6 Area CCSS: 6.G.A.1
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
Grade 6 Area CCSS: 6.G.A.1
The length of ¯AD is 12 units and the height of the parallelogram is 6 units. What is the area of triangle BCD?
Parallelogram ABCD v3
  1. 18units2
  2. 30units2
  3. 36units2
  4. 72units2
Grade 6 Area CCSS: 6.G.A.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.
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