Answer:
We kindly invite you to read carefully the explanation detailed below for further details.
Step-by-step explanation:
At first we understand that Diego converted length and wide units from feet to inches (
) 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:
(
- Length)
![l = 120\,ft\times \frac{12\,in}{1\,ft}](https://tex.z-dn.net/?f=l%20%3D%20120%5C%2Cft%5Ctimes%20%5Cfrac%7B12%5C%2Cin%7D%7B1%5C%2Cft%7D)
![l = 1440\,in](https://tex.z-dn.net/?f=l%20%3D%201440%5C%2Cin)
(
- Width)
![w = 75\,ft\times \frac{12\,in}{1\,ft}](https://tex.z-dn.net/?f=w%20%3D%2075%5C%2Cft%5Ctimes%20%5Cfrac%7B12%5C%2Cin%7D%7B1%5C%2Cft%7D)
![w = 900\,in](https://tex.z-dn.net/?f=w%20%3D%20900%5C%2Cin)
Step 2 - Applying scaling:
(
- Scaled length)
![l' = \frac{1440\,in}{180}](https://tex.z-dn.net/?f=l%27%20%3D%20%5Cfrac%7B1440%5C%2Cin%7D%7B180%7D)
![l' = 8\,in](https://tex.z-dn.net/?f=l%27%20%3D%208%5C%2Cin)
(
- Scaled width)
![w' = \frac{900\,in}{180}](https://tex.z-dn.net/?f=w%27%20%3D%20%5Cfrac%7B900%5C%2Cin%7D%7B180%7D)
![w' = 5\,in](https://tex.z-dn.net/?f=w%27%20%3D%205%5C%2Cin)