To determine the true statements about the gardens, we need to convert the measurements of each side length from inches to feet according to the given scales.
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Magazine Scale: 1 inch = 3.5 feet
- Length A (8 inches): \( 8 \text{ inches} \times 3.5 \text{ feet/inch} = 28 \text{ feet} \)
- Length B (5 inches): \( 5 \text{ inches} \times 3.5 \text{ feet/inch} = 17.5 \text{ feet} \)
- Length C (10 inches): \( 10 \text{ inches} \times 3.5 \text{ feet/inch} = 35 \text{ feet} \)
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Imogen's Scale: 2 inches = 6 feet
- To convert inches to feet, we can use the conversion of 2 inches to 6 feet. This means that 1 inch = 3 feet.
- Length A (8 inches): \( 8 \text{ inches} \times 3 \text{ feet/inch} = 24 \text{ feet} \)
- Length B (5 inches): \( 5 \text{ inches} \times 3 \text{ feet/inch} = 15 \text{ feet} \)
- Length C (10 inches): \( 10 \text{ inches} \times 3 \text{ feet/inch} = 30 \text{ feet} \)
Now, let's examine the given statements:
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Length A of the magazine's garden is 28 ft.
- True (Calculated earlier)
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Length A of Imogen’s garden is 28 ft.
- False (It's actually 24 ft)
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Length B of the magazine’s garden is 17.5 ft.
- True (Calculated earlier)
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Length B of Imogen’s garden is 18 ft.
- False (It's actually 15 ft)
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Length C of the magazine’s garden is 35 ft.
- True (Calculated earlier)
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Length C of Imogen’s garden is 20 ft.
- False (It's actually 30 ft)
Therefore, the true statements are:
- Length A of the magazine's garden is 28 ft.
- Length B of the magazine's garden is 17.5 ft.
- Length C of the magazine's garden is 35 ft.
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