From a word problem determine the length of a base of a trapezoid

The video tutorial explains how to solve a geometry problem involving a trapezoid. It begins by introducing the problem, which provides the height, one base, and the area of the trapezoid. The tutorial then explains the formula for the area of a trapezoid and demonstrates how to use the given information to solve for the unknown base. The process involves substituting known values into the formula and simplifying the equation to find the length of the other base.

What are the given dimensions of the trapezoid in the problem?

• Height: 30 meters, Base 1: 4 meters, Area: 264 square meters

• Height: 24 meters, Base 1: 6 meters, Area: 300 square meters

• Height: 20 meters, Base 1: 5 meters, Area: 200 square meters

• Height: 24 meters, Base 1: 4 meters, Area: 264 square meters

Which formula is used to calculate the area of a trapezoid?

• Area = height × base

• Area = 1/2 × height × (base1 + base2)

• Area = 1/2 × (base1 + base2)

• Area = base1 × base2

What is the first step in solving for the unknown base using the given formula?

• Multiply the height by the area

• Add the two bases together

• Substitute the known values into the formula

• Divide the area by the height

How can you simplify the equation 264 = 12 × (4 + B2) to find B2?

• Subtract 4 from both sides

• Divide both sides by 12

• Multiply both sides by 12

• Add 4 to both sides

What is the length of the unknown base B2 after solving the equation?

• 16 meters

• 20 meters

• 22 meters

• 18 meters