To solve for the height of the rectangle, we need to analyze the information given about the composite shape.
From your details, it seems that the total area of the drawing is 78 square centimeters, and you’ve mentioned specific measurements (6 cm terms) but it's unclear how these relate to the rectangle you're asking about.
Assuming the shape consists of a rectangle with a height \( h \) and a width derived from the measurements provided:
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Understanding given information:
- If "Top of the shape" and "Bottom of the shape" are both 6 cm, it seems you might have two parts of the shape that have a width of 6 cm each.
- If these are indeed the dimensions pertaining to a rectangle, we would need the total area \( A = \text{width} \times \text{height} \).
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Total area provision:
- The height \( h \) you're solving for, alongside the width (let's take the average if there's symmetry or misuse on these measurements).
- If the rectangle is completely represented, we have \( A = 78 \text{ cm}^2 \).
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Finding Height: \[ 78 = \text{width} \times h \] If we consider the width to be \( 6 \text{ cm} \): \[ 78 = 6 \times h \]
\[ h = \frac{78}{6} = 13 \text{ cm} \]
Therefore, based on the provided data, the height of the rectangle would be 13 centimeters.