Parallelogram

Parallelogram = Flat Four-Sided Shape in which Opposite Sides are Parallel

Parallelogram


Basics
b = base
h = height
A = Area = area covering surface of parallelogram (measured in square units)

A rectangle is a special form of a parallelogram in which all angles are right angles.
A square is a special form of a parallelogram in which all angles are right angles and all sides are equal.


Formulas (Provided by Mathematics Formula Sheet)

A = bh


Formulas (NOT provided by Mathematics Formula Sheet)
b = A ÷ h
h = A ÷ b


Question
A solar panel in the shape of a parallelogram has a base of 6 feet and height of 3 feet.
What is its area?

Answer
18 square feet

Answer Process
A = bh
A = bh = 6 × 3 = 18

Calculator Click What You See Comment
clear blinker clears screen
6 × 3 6*3 A = bh
enter 18 Answer
Parallelogram


Question
A solar panel in the shape of a parallelogram has a base of \bf\displaystyle6\frac{1}{2} feet and height of \bf\displaystyle3\frac{1}{4} feet.
What is its area in decimal form?

Answer
21.125 square feet

Answer Process
A = bh
A = bh = \bf\displaystyle6\frac{1}{2}\times 3\frac{1}{4}\bf\displaystyle\frac{169}{8} = 21.125 after toggle

Calculator Click What You See Comment
clear blinker clears screen
2nd mixed number 6 right 1 down 2 right ×
2nd mixed number 3 right 1 down 4 right
\bf\displaystyle6\frac{1}{2}\times 3\frac{1}{4} A = bh
enter \bf\displaystyle\frac{169}{8}
toggle 21.125 Answer
(Toggle)
Parallelogram


Question
A solar panel in the shape of a parallelogram has an area of 96 square feet and a height of 8 feet.  What is its base?

Answer
12 feet

Answer Process
b = A ÷ h
b = 96 ÷ 8 = 12

Calculator Click What You See Comment
clear blinker clears screen
96 ÷ 8 96÷8 b = A ÷ h
enter 12 Answer
Parallelogram


Question
A solar panel in the shape of a parallelogram has an area of 132 square feet and a base of 12 feet.  What is its height?

Answer
11 feet

Answer Process
h = A ÷ b
h = 132 ÷ 12 = 11

Calculator Click What You See Comment
clear blinker clears screen
132 ÷ 12 132÷12 h = A ÷ b
enter 11 Answer
Parallelogram


Practice – Questions
1.  A window in the shape of a parallelogram has a base of 3 feet and height of 2 feet.
What is its area?

2.  A window in the shape of a parallelogram has a base of \bf\displaystyle3\frac{1}{2} feet and height of \bf\displaystyle2\frac{1}{4} feet.
What is its area in decimal form?

3.  A window in the shape of a parallelogram has a base of \bf\displaystyle2\frac{3}{4} feet and height of \bf\displaystyle1\frac{1}{4} feet.
What is its area in decimal form?

4.  A window in the shape of a parallelogram has an area of 156 square inches and a height of 12 inches.  What is its base?

5.  A window in the shape of a parallelogram has an area of 200 square inches and a base of 20 inches.  What is its height?


Practice – Answers
1.  6 square feet

2.  7.875 square feet

3.  3.4375 square feet

4.  13 inches

5.  10 inches

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