Calculate Trapezoid Area: Finding Space Between 7 and 15 Unit Parallel Sides

What is the area of the trapezoid in the figure?

777151515222AAABBBCCCDDDEEE

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Step-by-step video solution

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00:00 Calculate the area of the trapezoid
00:03 Let's use the formula for calculating trapezoid area
00:08 (Sum of bases(AB+DC) multiplied by height(H)) divided by 2
00:14 Let's substitute appropriate values according to the given data and solve for the area
00:21 In this case, the height is BE
00:25 Let's reduce by 2
00:30 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

What is the area of the trapezoid in the figure?

777151515222AAABBBCCCDDDEEE

2

Step-by-step solution

We use the following formula to calculate the area of a trapezoid: (base+base) multiplied by the height divided by 2:

(AB+DC)×BE2 \frac{(AB+DC)\times BE}{2}

(7+15)×22=22×22=442=22 \frac{(7+15)\times2}{2}=\frac{22\times2}{2}=\frac{44}{2}=22

3

Final Answer

22 22 cm².

Practice Quiz

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Given the following trapezoid:

AAABBBCCCDDD584

Calculate the area of the trapezoid ABCD.

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