Calculate Trapezoid Area: 7-Unit Base with Heights 2 and 9

What is the area of the trapezoid in the figure?

222999777AAABBBCCCDDD

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the area of the trapezoid
00:03 Let's use the formula for calculating the area of a trapezoid
00:07 (Sum of bases(AB+DC) multiplied by height(H)) divided by 2
00:18 Let's substitute appropriate values according to the given data and solve for the area
00:25 In this case, the height is side AD
00:45 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What is the area of the trapezoid in the figure?

222999777AAABBBCCCDDD

2

Step-by-step solution

We use the formula: (base + base) multiplied by height divided by 2:

S=(AB+DC)×h2 S=\frac{(AB+DC)\times h}{2}

Keep in mind that AD is the height of a trapezoid:

We insert the existing data into the formula:

S=(2+9)×72 S=\frac{(2+9)\times7}{2}

S=11×72=772=38.5 S=\frac{11\times7}{2}=\frac{77}{2}=38.5

3

Final Answer

38.5 38.5 cm².

Practice Quiz

Test your knowledge with interactive questions

Given the following trapezoid:

AAABBBCCCDDD584

Calculate the area of the trapezoid ABCD.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Trapeze questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Trapeze

Calculate Trapezoid Area: 12 and 6 Unit Parallel Bases with 4 Unit Height
Click to solve
Calculate Trapezoid Perimeter: Finding the Sum of 4, 6, 9, and 13 Units
Click to solve

Area of a Trapezoid

Calculate Trapezoid Area: Finding Space Between 7 and 15 Unit Parallel Sides
Click to solve
Calculate Trapezoid Area: Find Area with Parallel Sides 6 and 12
Click to solve