Question

a) 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.
table:

• length in scale drawing: 6 in., actual length in garden: 24 ft, ratio: 1 in. to 4 ft
• length in scale drawing: 8 in., actual length in garden: 32 ft, ratio: 1 in. to 4 ft
• length in scale drawing: 10 in., actual length in garden: 40 ft, ratio: ?

image: triangle labeled \scale drawing\ with sides 6 in., 10 in., 8 in.

Explanation:

Step1: Analyze the ratio pattern

We know that for the first two rows, the ratio of length in scale drawing to actual length is 1 in. to 4 ft. Let's check the third row. The length in scale drawing is 10 in. and actual length is 40 ft.

Step2: Calculate the ratio

To find the ratio, we divide the actual length by the scale drawing length: $\frac{40\ \text{ft}}{10\ \text{in.}} = 4\ \text{ft per in.}$ So the ratio is 1 in. to 4 ft.

Answer:

1 in. to 4 ft