Trapezoid Area Calculation: Verifying and Applying the Formula with 4cm and 7cm Parallel Sides

ABCD is a trapezoid.

AB = 4 cm

DC = 7 cm

BK = 6 cm

Can the trapezoidal area formula be applied? If so, apply it and calculate.

444777666AAABBBCCCDDDKKK

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Can we calculate the area of the trapezoid? If yes, calculate it
00:03 We'll use the formula for calculating trapezoid area
00:08 (Sum of bases(AB+DC) multiplied by height(H)) divided by 2
00:20 We know the side lengths but not the height
00:24 Therefore, we cannot calculate the trapezoid's area
00:29 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

ABCD is a trapezoid.

AB = 4 cm

DC = 7 cm

BK = 6 cm

Can the trapezoidal area formula be applied? If so, apply it and calculate.

444777666AAABBBCCCDDDKKK

2

Step-by-step solution

The formula for the area of a trapezoid is:

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

Since we are given AB and DC but not the height, we cannot calculate the area of the trapezoid.

3

Final Answer

It cannot be applied.

Practice Quiz

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Calculate the area of the trapezoid.

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