Trapezoid Area Calculation: Finding Area with Heights 6cm and Parallel Sides 2.5cm and 4cm

The trapezoid ABCD is shown below.

AB = 2.5 cm

DC = 4 cm

Height (h) = 6 cm

Calculate the area of the trapezoid.

2.52.52.5444h=6h=6h=6AAABBBCCCDDD

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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'll use the formula for calculating the area of a trapezoid
00:06 (Sum of bases(AB+DC) multiplied by height (H)) divided by 2
00:13 We'll substitute appropriate values and solve to find the area
00:21 6 divided by 2 becomes 3
00:26 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.

AB = 2.5 cm

DC = 4 cm

Height (h) = 6 cm

Calculate the area of the trapezoid.

2.52.52.5444h=6h=6h=6AAABBBCCCDDD

2

Step-by-step solution

First, let's remind ourselves of the formula for the area of a trapezoid:

A=(Base + Base) h2 A=\frac{\left(Base\text{ }+\text{ Base}\right)\text{ h}}{2}

We substitute the given values into the formula:

(2.5+4)*6 =
6.5*6=
39/2 =
19.5

3

Final Answer

1912 19\frac{1}{2}

Practice Quiz

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Given the following trapezoid:

AAABBBCCCDDD584

Calculate the area of the trapezoid ABCD.

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