Trapezoid = Flat FourSided Shape with Two Parallel Sides
Basics
h = height
= length of side
= length of side
A = Area = area covering surface of trapezoid
Side and Side are parallel.
Formulas (Provided by Mathematics Formula Sheet)
Parentheses protect order of operations.
Formulas (NOT provided by Mathematics Formula Sheet)
Parentheses protect order of operations.
Question
A trapezoidal window is 1200 centimeters tall and its parallel sides are 500 and 800 centimeters long, respectively. What is its area?
Answer
780000 square centimeters
Answer Process
*1200(500 + 800) = 780000
Calculator Click  What You See  Comment 
blinker  clears screen  
1 2 × 1200 500 + 800 
*1200(500 + 800)  
780000  Answer  
Trapezoid 
Question
With reference to the question above, what is the area of the window in square meters?
Answer
78 square meters
Answer Process
See Measurement.
Square Meters = Square Centimeters ÷ 10000
Square Meters = 780000 ÷ 10000 = 78
Calculator Click  What You See  Comment 
blinker  clears screen  
1 2 × 1200 500 + 800 
*1200(500 + 800)  
780000  
780000 ÷ 10000  780000÷10000  Square Meters = Square Centimeters ÷ 10000 
78  Answer  
Trapezoid 
Question
A trapezoidal window is meters tall and its parallel sides are and meters long, respectively. To the nearest tenth of a square meter, what is its area?
Answer
85.9 square meters
Answer Process
= = 85.9375 = 85.9 after rounding
Calculator Click  What You See  Comment 
blinker  clears screen  
1 2 × 12 1 2 5 1 2 + 8 1 4 

85.9375  Answer (before rounding) 

Trapezoid 
Question
A trapezoidal window has parallel sides that are 600 and 700 centimeters long, respectively. Its area is 650000 square centimeters. What is its height?
Answer
1000 centimeters
Answer Process
= 1000
Calculator Click  What You See  Comment 
blinker  clears screen  
2 × 650000 500 + 800 

1000  Answer  
Trapezoid 
Practice – Questions
1. A trapezoidal solar panel is 1500 centimeters tall and its parallel sides are 500 and 700 centimeters long, respectively. What is its area?
2. A trapezoidal solar panel is 1400 centimeters tall and its parallel sides are 600 and 900 centimeters long, respectively. What is its area?
3. With reference to Question 2, what is the area of the panel in square meters?
4. A trapezoidal solar panel is meters tall and its parallel sides are and meters long, respectively. To the nearest tenth of a square meter, what is its area?
5. A trapezoidal solar panel has parallel sides that are 600 and 900 centimeters long, respectively. Its area is 900000 square centimeters. What is its height?
Practice – Answers
1. 900000 square centimeters
2. 1050000 square centimeters
3. 105 square meters
4. 114.2 square meters
5. 1200 centimeters