To find the area of a trapezoid, you need the lengths of the two bases (B¹ and B²) and the height (H).
From your provided dimensions (3 cm, 14 cm, and 17 cm), it appears that the bases of the trapezoid are 3 cm and 14 cm, and we need to determine the height. However, we don't have the information about the height based on these measurements alone.
For a trapezoid, the area formula is:
\[ \text{Area} = \frac{(B¹ + B²)}{2} \times H \]
If we assume that 17 cm is the height (H) of the trapezoid, we proceed as follows:
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Identify the bases:
- B¹ = 3 cm
- B² = 14 cm
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Use 17 cm as the height (H).
Now plug the values into the area formula:
\[ \text{Area} = \frac{(3 , \text{cm} + 14 , \text{cm})}{2} \times 17 , \text{cm} \]
\[ \text{Area} = \frac{17 , \text{cm}}{2} \times 17 , \text{cm} = 8.5 , \text{cm} \times 17 , \text{cm} \]
\[ \text{Area} = 144.5 , \text{cm}² \]
Thus, if we assume the height is included as 17 cm, the area of the trapezoid is:
\[ \text{Area} = 144.5 , \text{cm}² \]
If the height is something different than 17 cm, please provide that specific value.