An Intro to Parallelograms

Intro to Parallelograms

Welcome to this video lesson on common quadrilaterals.

Today, we will go over parallelograms, rectangles, and squares.

a) parallelogram = A parallelogram is a quadrilateral where all opposite sides are parallel and of equal length, and all opposite angles are equal.

To find the area of a parallelogram, multiply the length of of the sides, and multiply it by the height. In this case: x times h = area.

b) rectangle = A rectangle is a quadrilateral where all angles are equal to 90º, and all opposite sides are of equal length. The area of a rectangle is very easy to find, just like a parallelogram, height times width, in this case, x times y.

c) square = A square is a quadrilateral where all side lengths and angle measures are equal. Since all sides are equal, finding the area is simply a matter of multiplying any side by itself.

I hope that helps. Thanks for watching this video lesson, and until next time, happy studying.

Practice Questions

Question #1:

Which of the following is not part of the definition of a parallelogram?

It is a quadrilateral

All angles are right angles

Opposite sides are parallel and of equal length

All opposite angles are equal

Answer:

The correct answer is all angles are right angles. The definition of a parallelogram is, a quadrilateral where all opposite sides are parallel and of equal length, and all opposite angles are equal.

Question #2:

What is the area of this parallelogram?
Parallelogram with base of 17 cm and height of 12 cm

102 cm2

212 cm2

119 cm2

204 cm2

Answer:

The correct answer is 204 cm2. The formula of a parallelogram is:
\(A=bh\)
The base (b) is 17 cm and the height (h) is 12 cm.
\(A=(170)(12)=204\text{ cm}^2\)
The area of this parallelogram is 204 cm2.

Question #3:

“A quadrilateral where all side lengths and angle measures are equal” is the definition of what shape?

Parallelogram

Rectangle

Square

Trapezoid

Answer:

The correct answer is a square. This is the exact definition of a square. It has all equal sides and all equal angles.

Question #4:

What is the area of a square with a side length of 4 in?

24 in2

16 in2

8 in2

32 in2

Answer:

The correct answer is 16 in2. The formula for area of a square is:
\(A=s^2\)
The length of the side (s) is 4 in.
\(A=(4)^2=16\text{ in}^2\)
The area of this square is 16 square inches.

Question #5:

What is the area of this rectangle?
11ft by 7ft rectangle

77 ft2

60 ft2

36 ft2

42 ft2

Answer:

The correct answer is 77 ft2. The formula for area of a rectangle is:
\(A=lw\)
The length (l) is 17 ft and the width (w) is 7 ft.
\(A=(11)(7)=77\text{ ft}^2\)
The area of this rectangle is 77 square inches.

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by Mometrix Test Preparation | This Page Last Updated: June 27, 2022