Trapezoid Area and Conversion Problems

The video tutorial explains how to find the area of a trapezoid in square meters. It begins by converting all given dimensions from centimeters and kilometers to meters. The tutorial then demonstrates how to find the height of the trapezoid using properties of special right triangles. Finally, it calculates the area of the trapezoid using the formula for trapezoid area, providing both an exact and a decimal approximation.

What is the first step in finding the area of the trapezoid?

• Calculate the height

• Convert all dimensions to meters

• Use the area formula directly

• Find the length of the bases

How many meters is 1,200 cm equivalent to?

• 12 meters

• 120 meters

• 1.2 meters

• 0.12 meters

What is the conversion factor from kilometers to meters?

• 1,000 meters per kilometer

• 100 meters per kilometer

• 100,000 meters per kilometer

• 10,000 meters per kilometer

What is the length in meters of 0.02 km?

• 0.2 meters

• 2 meters

• 20 meters

• 200 meters

What is the length in meters of 0.025 km?

• 0.25 meters

• 250 meters

• 25 meters

• 2.5 meters

What is the formula for the area of a trapezoid?

• Base minus height

• 1/2 times the sum of the bases times the height

• Base times height

• Base plus height

What type of triangle is used to find the height of the trapezoid?

• 45-45-90 right triangle

• 30-60-90 right triangle

• Equilateral triangle

• Isosceles triangle

What is the height of the trapezoid in meters?

• 6√3 meters

• 12√3 meters

• 6 meters

• 12 meters

What is the exact area of the trapezoid in square meters?

• 45 square meters

• 135√3 square meters

• 135 square meters

• 233.83 square meters

What is the approximate area of the trapezoid in square meters to two decimal places?

• 135.00 square meters

• 233.83 square meters

• 45.00 square meters

• 135√3 square meters