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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:10 Let's calculate the area of the trapezoid.
00:13 We'll use the trapezoid area formula.
00:16 The formula is: the sum of base A B and base D C, multiplied by the height, H, and then divided by two.
00:26 Now, let's put in the values and solve for the area.
00:37 And that's how we find the area of a trapezoid!

Step-by-step written solution

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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

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Given the following trapezoid:

AAABBBCCCDDD584

Calculate the area of the trapezoid ABCD.

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