Calculate Trapezoid Area: Finding Space Between 6cm and 10cm Bases

The trapezoid ABCD is shown below.

Base AB = 6 cm

Base DC = 10 cm

Height (h) = 5 cm

Calculate the area of the trapezoid.

666101010h=5h=5h=5AAABBBCCCDDD

❤️ 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 We will use the formula for calculating the area of a trapezoid
00:06 (Sum of bases(AB+DC) multiplied by height (H)) divided by 2
00:14 We will substitute appropriate values and solve to find the area
00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

The trapezoid ABCD is shown below.

Base AB = 6 cm

Base DC = 10 cm

Height (h) = 5 cm

Calculate the area of the trapezoid.

666101010h=5h=5h=5AAABBBCCCDDD

2

Step-by-step solution

First, we need to remind ourselves of how to work out the area of a trapezoid:

(Base+Base)⋅h2=Area \frac{(Base+Base)\cdot h}{2}=Area

Now let's substitute the given data into the formula:

(10+6)*5 =
2

Let's start with the upper part of the equation:

16*5 = 80

80/2 = 40

3

Final Answer

40 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

Trapezoid Area Calculation: Finding Area with Heights 6cm and Parallel Sides 2.5cm and 4cm
Click to solve
Calculate Trapezoid Area: Finding Area with Bases 5cm, 3cm and Height h
Click to solve

Area of a Trapezoid

Calculate Trapezoid Area: Given Parallel Sides 5cm, 9cm and Height 7cm
Click to solve
Calculate Trapezoid Area: Finding Area of ABCD with Bases 5 and 8
Click to solve