Question

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 1 in. to 4 ft 8 in. 32 ft 1 in. to 4 ft 10 in. 40 ft ? scale drawing 6 in. 10 in. 8 in.

Explanation:

Step1: Analyze the ratio pattern

We know from the first two rows that the ratio of scale drawing length to actual garden length is consistent. For 6 in. (scale) and 24 ft (actual), the ratio simplifies to 1 in. to 4 ft (since \( \frac{6}{24}=\frac{1}{4} \)).

Step2: Apply the ratio to 10 in.

For the third row, scale length is 10 in. and actual length is 40 ft. Let's check the ratio: \( \frac{10}{40}=\frac{1}{4} \), so the ratio is 1 in. to 4 ft.

Answer:

1 in. to 4 ft