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

Explanation:

Step1: Analyze the ratio

We know that for the given scale drawing and actual lengths, the ratio is \(1\) in. to \(4\) ft. This means for every \(1\) inch in the scale drawing, the actual length is \(4\) feet.

Step2: Check the ratios for each pair

• For \(6\) in. and \(24\) ft: \(\frac{6}{24}=\frac{1}{4}\) (since \(24\div6 = 4\))
• For \(8\) in. and \(32\) ft: \(\frac{8}{32}=\frac{1}{4}\) (since \(32\div8=4\))
• For \(10\) in. and \(40\) ft: \(\frac{10}{40}=\frac{1}{4}\) (since \(40\div10 = 4\))

Answer:

\(1\) in. to \(4\) ft.