Area of a Parallelogram Quiz

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Questions and Answers

What is the formula used to calculate the area of a parallelogram?

  • A = 2(b + h)
  • A = (b × h) / 2
  • A = b + h
  • A = b × h (correct)

If the base of a parallelogram is doubled while the height remains the same, what happens to the area?

  • The area is halved
  • The area doubles (correct)
  • The area increases by a factor of four
  • The area remains the same

Given a parallelogram with base 10 units and height 8 units, what is the area?

  • 100 square units
  • 40 square units
  • 80 square units (correct)
  • 60 square units

What would the area of the parallelogram be if the height was increased to 10 units while keeping the base the same?

<p>100 square units (A)</p> Signup and view all the answers

If the area of a parallelogram is 80 square units and the base is 10 units, what is the height?

<p>8 units (D)</p> Signup and view all the answers

What is the area of the parallelogram when the base is 10 units and the height is 8 units?

<p>80 square units (D)</p> Signup and view all the answers

The area of a parallelogram can be found by adding the base and height.

<p>False (B)</p> Signup and view all the answers

What dimensions are required to calculate the area of a parallelogram?

<p>Base and height</p> Signup and view all the answers

The area of the parallelogram is ___ square units.

<p>80</p> Signup and view all the answers

Match the following components with their corresponding definitions:

<p>Base = The length at the bottom of the parallelogram Height = The perpendicular distance from the base to the top Area = The measure of space inside the parallelogram Parallelogram = A four-sided figure with opposite sides parallel</p> Signup and view all the answers

Flashcards

Parallelogram area formula

Area = base × height

Doubling the base

The area is doubled

Area with base 10, height 8

The area is 80 square units

Area with base 10, height 10

Area is 100 square units

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Height with area 80, base 10

The height is 8 units

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Area = Base + Height

False

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Parallelogram dimensions

Base and height

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Study Notes

Area of a Parallelogram

  • The area of a parallelogram is calculated by multiplying its base (b) by its height (h).
  • The formula for the area of a parallelogram is: A = b × h.
  • The base of a parallelogram is the length of one of its sides.
  • The height of a parallelogram is the perpendicular distance between the base and its opposite side.
  • When applying the formula, ensure that the height is perpendicular to the base.
  • The area of a parallelogram is measured in square units.

Parallelogram Area

  • The area of a parallelogram is calculated by multiplying its base and height.
  • The base is one of the parallelogram's sides; the height is the perpendicular distance between the base and the opposite side
  • The formula for calculating the area is: A = b × h where A represents the area, b represents the base, and h represents the height.
  • The area is measured in square units.

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