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Which one of the following measurements corresponds to the area of a square or rectangle?

a) 10 ft.
b) 9 ft.
c) 48 ft.
d) 40 ft.
e) 38 ft.
f) 37 ft.
g) 32 ft.
h) 43 ft.

User Lomithrani
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1 Answer

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Final answer:

None of the options (a to h) directly correspond to the area of a square or rectangle because area should be expressed in square units (e.g., ft²). The question likely requires further information or context to provide a proper answer.

Step-by-step explanation:

Understanding Measurement Units for Area

The question relates to understanding the correct units when measuring the area of squares and rectangles. Area is a measure of the surface and is always expressed in square units, such as square feet (ft²). Since the question provides measurements in feet without specifying square feet, none of the given options (a to h) directly correspond to the area of a square or rectangle. Typically, area would be represented as a product of length and width and therefore should be expressed in square units (for example, 48 ft²).

Scale Factor Calculation Examples

1. For a scale factor of 2 inches to 8 feet, we create a ratio of 2 inches/8 feet which simplifies to 1 inch/4 feet.
2. A scale factor of 13 inches to 12 feet converts to a ratio of 13 inches/12 feet or approximately 1.083 inches/foot.
3. The scale factor of 6 inches to 24 feet simplifies to 1 inch/4 feet.

Examples of Scale and Actual Measurements

To find the actual dimensions of a building that measures 10 inches by 14 inches on a drawing with a scale of 1" = 10 ft, we multiply the dimensions on the drawing by the scale factor. The actual building would be 100 feet by 140 feet.

User Ben Kulbertis
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