Calculate Trapezoid Area: Finding Space Between 5 and 7 Unit Bases

Given the following trapezoid:

AAABBBCCCDDD57

Find the area of the trapezoid ABCD.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the area of the trapezoid
00:03 Let's use the formula for calculating the area of a trapezoid
00:07 (Sum of bases(AB+DC) multiplied by height(H)) divided by 2
00:14 Let's substitute appropriate values and solve to find the area
00:26 Combine numerator with numerator and denominator with denominator
00:31 Divide 12 by 6
00:36 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Given the following trapezoid:

AAABBBCCCDDD57

Find the area of the trapezoid ABCD.

2

Step-by-step solution

The area of the trapezoid will be:

S=(AB+DC)×h2 S=\frac{(AB+DC)\times h}{2}

We replace the known data in the formula:

(5+7)2×83= \frac{(5+7)}{2}\times\frac{8}{3}=

12×86= \frac{12\times8}{6}=

966=16 \frac{96}{6}=16

3

Final Answer

16

Practice Quiz

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Given the following trapezoid:

AAABBBCCCDDD584

Calculate the area of the trapezoid ABCD.

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