Parallelogram = Flat FourSided Shape in which Opposite Sides are Parallel
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 
blinker  clears screen  
6 × 3  6*3  A = bh 
18  Answer  
Parallelogram 
Question
A solar panel in the shape of a parallelogram has a base of feet and height of feet.
What is its area in decimal form?
Answer
21.125 square feet
Answer Process
A = bh
A = bh = = = 21.125 after toggle
Calculator Click  What You See  Comment 
blinker  clears screen  
6 1 2 × 3 1 4 
A = bh  
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 
blinker  clears screen  
96 ÷ 8  96÷8  b = A ÷ h 
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 
blinker  clears screen  
132 ÷ 12  132÷12  h = A ÷ b 
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 feet and height of feet.
What is its area in decimal form?
3. A window in the shape of a parallelogram has a base of feet and height of 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