contestada

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.

Respuesta :

xero099

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 ([tex]1\,ft = 12\,in[/tex]) 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:

[tex]l = 120\,ft[/tex] ([tex]l[/tex] - Length)

[tex]l = 120\,ft\times \frac{12\,in}{1\,ft}[/tex]

[tex]l = 1440\,in[/tex]

[tex]w = 75\,ft[/tex] ([tex]w[/tex] - Width)

[tex]w = 75\,ft\times \frac{12\,in}{1\,ft}[/tex]

[tex]w = 900\,in[/tex]

Step 2 - Applying scaling:

[tex]l' = \frac{l}{180}[/tex] ([tex]l'[/tex] - Scaled length)

[tex]l' = \frac{1440\,in}{180}[/tex]

[tex]l' = 8\,in[/tex]

[tex]w' = \frac{w}{180}[/tex] ([tex]w'[/tex] - Scaled width)

[tex]w' = \frac{900\,in}{180}[/tex]

[tex]w' = 5\,in[/tex]

Otras preguntas