To solve for the area of the rectangles and use the given values, we first need to clarify the lengths based on the numeric values provided.
You mentioned two smaller rectangles:
- The rectangle on the top has dimensions (length x height) of 8 units (width) and 5 units (height).
- The height of the dark rectangle on the top and the total height of the two smaller rectangles add up to 8 units.
Given that the area of the dark rectangle is 40 square units, we can use this information to find missing dimensions or relationships.
Here's how the area can be calculated for each rectangle:
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Area of the top rectangle: The area of a rectangle is given by the formula: \[ \text{Area} = \text{length} \times \text{height} \] Given that the top rectangle has a height of 5 units, we can express its area. If the width (or length) is 8 units: \[ \text{Area}_{\text{top}} = 8 \text{ (width)} \times 5 \text{ (height)} = 40 \text{ square units} \]
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Bottom rectangle’s dimensions: If we know the total height of both rectangles is 8 units, and the top rectangle has a height of 5 units, we can find the height of the bottom rectangle by subtracting: \[ \text{Height of bottom rectangle} = 8 - 5 = 3 \text{ units} \] Since the bottom rectangle shares the same width as the top rectangle (8 units), its area would be: \[ \text{Area}_{\text{bottom}} = 8 \text{ (width)} \times 3 \text{ (height)} = 24 \text{ square units} \]
Summary of Areas:
- Area of the top rectangle = 40 square units
- Area of the bottom rectangle = 24 square units
If you need more specific information or if there are other features in the figure you want to analyze, please provide additional details.
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