Calculate Trapezoid Area: Finding Area of ABCD with Base Lengths 7 and 11

Given the following trapezoid:

AAABBBCCCDDD7115

Calculate the area of the trapezoid ABCD.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's find the area of the trapezoid.
00:08 We'll use the formula for a trapezoid's area.
00:12 It's: the sum of base A B and base D C, times the height H. Then divide by two.
00:18 Now, we'll put in the values and calculate the area.
00:36 And that's how we solve the problem!

Step-by-step written solution

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1

Understand the problem

Given the following trapezoid:

AAABBBCCCDDD7115

Calculate the area of the trapezoid ABCD.

2

Step-by-step solution

To calculate the area of the trapezoid ABCD, we will follow these steps:

Given:

  • Base AB=7 AB = 7
  • Base CD=11 CD = 11
  • Height =5 = 5

Apply the trapezoid area formula:

The formula for the area of a trapezoid is:

A=12×(Base1+Base2)×Height A = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}

Substitute the values into the formula:

A=12×(7+11)×5 A = \frac{1}{2} \times (7 + 11) \times 5

Simplify the expression:

A=12×18×5 A = \frac{1}{2} \times 18 \times 5

Calculate:

A=12×90 A = \frac{1}{2} \times 90

Finally, compute the area:

A=45 A = 45

Thus, the area of trapezoid ABCD is 45 45 .

3

Final Answer

45

Practice Quiz

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Calculate the area of the trapezoid.

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Calculating Trapezoid Area: Finding the Area of ABCD with 5 and 11 Unit Bases
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