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Question:

The length of Janelle’s Garden is 200 m. What is the length of Janelle’s garden in feet? (Round to the nearest hundredth of a foot if necessary.)

A 656.17 feet.
explanation

Step 1:
Recall that \(\text{1 foot }\) = \(\text{0.3048 meters}\). We can use this information to set up the following proportionality equation:
\(\frac{\mathrm{\text{1 foot}} }{\mathrm{\text{0.3048 meters}} }\) = \(\frac{\mathrm{\text{x feet}} }{\mathrm{\text{200 meters}} }\)
Step 2:
We can then use cross multiplication to solve for the missing term:
(\(\text{0.3048 meters }\)) × (\(\text{x feet}\)) = (\(\text{1 foot }\)) × (\(\text{200 meters}\))
(\(\text{0.3048x }\)) = (\(\text{200 feet}\))
Step 3:
Finally, we can divide both sides of the equation by \(0.3048\) to solve for \(\text{x}\):
\(\frac{\mathrm{\text{0.3048x}} }{\mathrm{0.3048} }\) = \(\frac{\mathrm{\text{200 feet}} }{\mathrm{0.3048} }\)
\(\text{x}\) = \(\text{656.17 feet}\)

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