Calculate Trapezoid Area with Bases 9 and 12, Height 5 Units

Given the trapezoid:

999121212555AAABBBCCCDDDEEE

What is the area?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 What is the area of the trapezoid?
00:06 Let's substitute the side lengths according to the given data
00:12 We'll use the formula for calculating trapezoid area
00:15 (height(AE) multiplied by the sum of bases(AB+DC)) divided by 2
00:25 Let's substitute the appropriate values and solve for the area
00:38 Always solve parentheses first
00:55 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the trapezoid:

999121212555AAABBBCCCDDDEEE

What is the area?

2

Step-by-step solution

Formula for the area of a trapezoid:

(base+base)2×altura \frac{(base+base)}{2}\times altura

We substitute the data into the formula and solve:

9+122×5=212×5=1052=52.5 \frac{9+12}{2}\times5=\frac{21}{2}\times5=\frac{105}{2}=52.5

3

Final Answer

52.5

Practice Quiz

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Given the following trapezoid:

AAABBBCCCDDD584

Calculate the area of the trapezoid ABCD.

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