Question

A rectangular parking lot is 120 feet long and 75 feet wide. Diego made another scale drawing of the parking lot at a scale of 1 to 180. The drawing he produced is also 8 inches by 5 inches. (Remember the video. Scales with no units represent the SAME UNIT. So how is Diego using a different scale than Lin, but ended up with the same drawing?) (12 inches = 1 foot) 2.) Explain or show how Diego's scale would produce an 8 inch by 5-inch drawing.

Answer 1

We kindly invite you to read carefully the explanation detailed below for further details.

Explanation:

At first we understand that Diego converted length and wide units from feet to inches (
`1\,ft = 12\,in`) and then he divided each term by 180, since he was using a reduction scale, so that rectangular parking lot can be represented on paper. That is:

Step 1 - Unit conversion:

`l = 120\,ft` (
`l` - Length)

`l = 120\,ft* (12\,in)/(1\,ft)`

`l = 1440\,in`

`w = 75\,ft` (
`w` - Width)

`w = 75\,ft* (12\,in)/(1\,ft)`

`w = 900\,in`

Step 2 - Applying scaling:

`l' = (l)/(180)` (
`l'` - Scaled length)

`l' = (1440\,in)/(180)`

`l' = 8\,in`

`w' = (w)/(180)` (
`w'` - Scaled width)

`w' = (900\,in)/(180)`

`w' = 5\,in`