Question

a map of a community garden is shown. the map of the garden was made with a scale of 1 inch = 4 feet. each grid square on the map is $\frac{1}{2}$ inch in length. the garden is separated into sections for different types of plants. what is the length of the longest side of the section used to grow tomatoes? a. 8 feet b. 24 feet c. 6 feet d. 12 feet

Explanation:

Step1: Determine map - length of the side

Count the number of half - inch grid squares on the longest side of the tomato section. Assume it is 3 half - inch grid squares. So the map length is $3\times\frac{1}{2}=\frac{3}{2}$ inches.

Step2: Use the scale to convert

The scale is 1 inch = 4 feet. Let the actual length be $x$ feet. We set up a proportion: $\frac{1\text{ inch}}{4\text{ feet}}=\frac{\frac{3}{2}\text{ inches}}{x\text{ feet}}$. Cross - multiplying gives $x = 4\times\frac{3}{2}$.

Step3: Calculate the actual length

$x=4\times\frac{3}{2}=6$ feet.

Answer:

C. 6 feet