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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 7 Area CCSS: 6.G.A.1, 7.G.B.6
In trapezoid ABDC,

Base 1 = 4 cm
Base 2 = 2 cm
and the
Height = 5 cm

What is the area?

Trapezoid ABCD
  1. 8 square centimeters
  2. 15 square centimeters
  3. 10 square centimeters
  4. 30 square centimeters
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
Grade 7 Area CCSS: 6.G.A.1, 7.G.B.6
Why would you use the formula A=bh?
  1. To get the area of a triangle
  2. To get the area of a circle
  3. To get the area of a parallelogram
  4. To get the perimeter of a square
Grade 6 Area CCSS: 6.G.A.1
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]
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
Grade 7 Area CCSS: 6.G.A.1, 7.G.B.6
What is the area of a triangle with height 8 inches and base 2 inches?
  1. 8 square inches
  2. 2 square inches
  3. 16 square inches
  4. 6 square inches
Grade 7 Area CCSS: 6.G.A.1, 7.G.B.6
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
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