Trapezoid = Flat Four-Sided 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 (Mathematics Formula Sheet)
Parentheses protect order of operations.
Formulas (NOT on 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
= 780000
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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 centimeters per square meter
Square Meters = 780000 ÷ 10000 = 78 square meters
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780000 | |
780000 ÷ 10000 | 780000÷10000 | Square Meters = Square Centimeters ÷ 10000 square centimeters per square meter |
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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
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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
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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