Question

what number can you multiply each length in the scale drawing by to find the actual length? what is the actual length of the north side of the gym? 10

Explanation:

Step1: Find the scale - factor

We know that the west - side length in the scale drawing is 5 in and the actual west - side length is 50 ft. First, convert the units to be the same. Since 1 ft = 12 in, 50 ft=50×12 = 600 in. The scale - factor $k$ is the ratio of the actual length to the length in the scale drawing. For the west - side, $k=\frac{600}{5}=120$.

Step2: Find the actual length of the north - side

The length of the north - side in the scale drawing is 9 in. To find the actual length $L$, we multiply the length in the scale drawing by the scale - factor. So $L = 9\times120=1080$ in. Convert back to feet: since 1 ft = 12 in, $\frac{1080}{12}=90$ ft.

Answer:

1. The number to multiply each length in the scale drawing by to find the actual length is 120.
2. The actual length of the north side of the gym is 90 ft.