Exploring Area of Parallelograms and Triangles

What is the primary difference between area and perimeter?

• Area is only applicable to circles, while perimeter is applicable to all shapes.

• Area and perimeter are the same for all shapes.

• Area measures the space inside a shape, while perimeter measures the distance around a shape.

• Area measures the distance around a shape, while perimeter measures the space inside a shape.

How do you find the area of a figure using the concept of area addition?

• By using the Pythagorean theorem.

• By measuring the perimeter and dividing by two.

• By breaking the figure into smaller non-overlapping parts and summing their areas.

• By multiplying the length and width of the figure.

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CCSS.3.MD.C.7D

What is the formula for the area of a parallelogram?

• Base times height

• Side squared

• Radius squared times pi

• Length times width

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CCSS.6.G.A.1

Why must the base and height of a parallelogram be perpendicular?

• Because they are parallel to each other.

• Because they are the same as the sides of the parallelogram.

• Because they form a right angle.

• Because they are always equal in length.

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CCSS.7.G.B.5

In the given example, what is the height of the parallelogram if the base is 32 inches and the hypotenuse of the right triangle is 20 inches?

• 12 inches

• 16 inches

• 32 inches

• 20 inches

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CCSS.6.G.A.1

How do you find the perimeter of a parallelogram?

• By adding up the lengths of all sides.

• By multiplying the base and height.

• By dividing the area by the base.

• By using the Pythagorean theorem.

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CCSS.3.MD.D.8

When the height of a parallelogram is outside the shape, how is it determined?

• By using the area formula directly.

• By measuring the slanted side.

• By extending the base and measuring the perpendicular distance.

• By using the perimeter formula.

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CCSS.6.G.A.1

How can trigonometry be used to find the height of a parallelogram?

• By using the cosine of the given angle and the base.

• By using the Pythagorean theorem.

• By using the sine of the given angle and the hypotenuse.

• By using the tangent of the given angle and the perimeter.

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CCSS.HSG.SRT.C.8

What is the formula for the area of a triangle?

• Base times height

• One-half base times height

• Side squared

• Length times width

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CCSS.6.G.A.1

If one board is 3 feet long and one bag of sand fills 9 square feet, how many bags of sand are needed to fill a triangular sandbox with an area of 54 square feet?

• 5 bags

• 6 bags

• 7 bags

• 4 bags

Tags

CCSS.6.G.A.1