The area of the trapezoid in the diagram is 9 cm².
Calculate the length of the line marked in red.
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The area of the trapezoid in the diagram is 9 cm².
Calculate the length of the line marked in red.
For this trapezoid problem, the necessary dimensions to determine the length of the red line are insufficient due to missing base lengths. Since no complete base information or relevant assumptions are available to resolve this, we cannot calculate the red line length.
Therefore, the problem concludes as per option choice: It is impossible to calculate.
It is impossible to calculate.
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
The trapezoid area formula is . With area = 9 and only one base known, you have two unknowns (the other base and height) in one equation - mathematically impossible to solve!
You need both parallel bases (top and bottom lengths) to use the area formula. Alternatively, you could solve with one base, the height, and the area to find the other base.
Count your unknowns versus equations. If you have more unknowns than equations, the problem cannot be solved. Always identify what information is given and what you need to find.
Not exactly! This teaches an important skill: recognizing insufficient data. Real-world problems sometimes lack complete information, and knowing when you can't solve is as valuable as solving.
Check carefully! The diagram shows one base length (3) and a side length (6), but the other parallel base is not labeled. Without both parallel bases, you cannot calculate the height.
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