Trapezoid Area and Division Concepts

The video tutorial explains how to find the height of a trapezoid given its area. It begins by introducing the area formula for a trapezoid and setting up an equation using known values. The tutorial then walks through simplifying the equation to solve for the unknown height, verifying calculations both manually and with a calculator. The final height is determined to be 20.8 units, and the process is verified for accuracy.

What is the formula for the area of a trapezoid?

• Area = 1/3 * (b1 + b2) * height

• Area = 1/2 * (b1 + b2) * height

• Area = base * height

• Area = length * width

What are the lengths of the two bases in the given trapezoid problem?

• 18 and 22

• 15 and 20

• 26 and 10.4

• 30 and 12

What is the first step in setting up the equation to find the height?

• Subtract the bases

• Multiply the bases

• Add the bases and multiply by height

• Add the bases and divide by 2

What is the result of dividing 36.4 by 2?

• 19.2

• 17.2

• 20.2

• 18.2

Why do we divide both sides of the equation by 18.2?

• To find the base

• To isolate the height

• To simplify the equation

• To find the area

What is the purpose of moving the decimal point in the division process?

• To simplify the dividend

• To decrease the quotient

• To increase the dividend

• To make the divisor a whole number

What is the final calculated height of the trapezoid?

• 18.2 units

• 20.8 units

• 19.5 units

• 22.5 units

How many times does 182 fit into 378 during the division process?

• 1 time

• 2 times

• 3 times

• 4 times

What is the next step after finding the quotient in the division process?

• Multiply the quotient by the divisor

• Subtract the product from the dividend

• Verify the quotient

• Add the quotient to the dividend

What is the final step in verifying the height calculation?

• Recalculate the height manually

• Recheck the base lengths

• Use a calculator to check the division

• Recalculate the area