Finding Missing Dimensions of a Trapezoid
If you know the total area of a trapezoid, you can use algebra to work backward and find a missing height or base. * To find the height: h = \frac{2A}{b_1 + b_2} * To find a base: b_1 = \frac{2A}{h} - b_2. When you are given the area, the formula has already been calculated. To find a missing piece, you just have to reverse the process! It is highly recommended to multiply the area by 2 as your very first step to get rid of that "1/2" fraction. This skill is part of Grade 6 math in Reveal Math, Course 1.
Key Concepts
Property If you know the total area of a trapezoid, you can use algebra to work backward and find a missing height or base. To find the height: $$h = \frac{2A}{b 1 + b 2}$$ To find a base: $$b 1 = \frac{2A}{h} b 2$$.
Examples Finding the height: A trapezoid has an area of 40 square cm and bases of 6 cm and 10 cm. First, multiply area by 2: 40 x 2 = 80. Then, divide by the sum of the bases (16): 80 / 16 = 5. The height is 5 cm. Finding a missing base: A trapezoid has an area of 35 square m, a height of 5 m, and one base of 8 m. Multiply area by 2: 35 x 2 = 70. Divide by height: 70 / 5 = 14. Subtract the known base: 14 8 = 6. The missing base is 6 m.
Explanation When you are given the area, the formula has already been calculated. To find a missing piece, you just have to reverse the process! It is highly recommended to multiply the area by 2 as your very first step to get rid of that "1/2" fraction. From there, it's just basic algebra.
Common Questions
What is Finding Missing Dimensions of a Trapezoid?
If you know the total area of a trapezoid, you can use algebra to work backward and find a missing height or base. * To find the height: h = \frac{2A}{b_1 + b_2} * To find a base: b_1 = \frac{2A}{h} - b_2.
How does Finding Missing Dimensions of a Trapezoid work?
Example: Finding the height: A trapezoid has an area of 40 square cm and bases of 6 cm and 10 cm. First, multiply area by 2: 40 x 2 = 80. Then, divide by the sum of the bases (16): 80 / 16 = 5. The height is 5 cm.
Give an example of Finding Missing Dimensions of a Trapezoid.
Finding a missing base: A trapezoid has an area of 35 square m, a height of 5 m, and one base of 8 m. Multiply area by 2: 35 x 2 = 70. Divide by height: 70 / 5 = 14. Subtract the known base: 14 - 8 = 6. The missing base is 6 m.
Why is Finding Missing Dimensions of a Trapezoid important in math?
When you are given the area, the formula has already been calculated. To find a missing piece, you just have to reverse the process! It is highly recommended to multiply the area by 2 as your very first step to get rid of that "1/2" fraction.
What grade level covers Finding Missing Dimensions of a Trapezoid?
Finding Missing Dimensions of a Trapezoid is a Grade 6 math topic covered in Reveal Math, Course 1 in Module 8: Area. Students at this level study the concept as part of their grade-level standards and are expected to explain, analyze, and apply what they have learned.
How does Finding Missing Dimensions of a Trapezoid connect to other math topics?
To find a missing piece, you just have to reverse the process! It is highly recommended to multiply the area by 2 as your very first step to get rid of that "1/2" fraction. From there, it's just basic algebra..