On a landscaper's plans for a garden, the scale is .5 in : 10 ft. On the plans, the main sidewalk is 3 1/2 in. long. What is the actual length of the sidewalk?

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31-03-2018
Mathematics

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On a landscaper's plans for a garden, the scale is .5 in : 10 ft. On the plans, the main sidewalk is 3 1/2 in. long. What is the actual length of the sidewalk?

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Аноним Аноним · Answer 1 · 2018-03-31T08:42:16+02:00

[tex]\text { Ratio = } 0.5 \ \text { in } : 10 \text { ft} [/tex]

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Find 1 inch :
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[tex]1 \ \text { in } : 10 \div 0.5 \text { ft} [/tex]

[tex]1 \ \text { in } : 20 \text { ft} [/tex]

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Find 3 /12 inches :
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[tex]1 \ \text { in } : 20 \text { ft} [/tex]

[tex]3 \dfrac{1}{2} \ \text { in } : 20 \times 3 \dfrac{1}{2} \text { ft} [/tex]

[tex]3 \dfrac{1}{2} \ \text { in } : \dfrac{20}{1} \times \dfrac{7}{2} \text { ft} [/tex]

[tex]3 \dfrac{1}{2} \ \text { in } : 70 \text { ft} [/tex]

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Answer: The actual length of the sidewalk is 70 feet.
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