Question

ms. young made a scale drawing of the community garden in her neighborhood. the actual lengths of the garden are shown in the table. choose an equivalent ratio that shows each length in the scale drawing to the length in the garden. length in scale drawing, actual length in garden, ratio. 6 in., 24 ft, ?. 8 in., 32 ft. 10 in., 40 ft.

Explanation:

Step1: Convert feet to inches

Since 1 ft = 12 in, 24 ft = 24×12 = 288 in, 32 ft = 32×12 = 384 in, 40 ft = 40×12 = 480 in.

Step2: Calculate the ratio for the first - row

The ratio of length in scale drawing to actual length for the first row: $\frac{6}{288}=\frac{1}{48}$.

Step3: Calculate the ratio for the second - row

The ratio of length in scale drawing to actual length for the second row: $\frac{8}{384}=\frac{1}{48}$.

Step4: Calculate the ratio for the third - row

The ratio of length in scale drawing to actual length for the third row: $\frac{10}{480}=\frac{1}{48}$.

Answer:

$\frac{1}{48}$