A game room has a floor that is 75 feet by 20 feet. A scale drawing of the floor on grid paper uses a scale of 4 units:5 feet. What are the dimensions of the scale drawing?

Respuesta :

Answer:

the dimensions of the drawing scale are

60 units by 20 units

Step-by-step explanation:

Given:

A game room has a floor that is 75 feet by 20 feet

A scale drawing of the floor on grid paper uses a scale of 4 units:5 feet

The length of the drawing scale is

Let actual Length [tex]l = 75[/tex] feet.

actual width [tex]w = 20[/tex] feet.

Drawing [tex]Length=\frac{l}{5} \times 4 units[/tex]

Put the actual length in above equation.

Drawing [tex]Length=\frac{75}{5} \times 4 units[/tex]

Drawing [tex]Length=15 \times 4 [/tex]

Drawing [tex]Length=60 units[/tex]

The drawing length is 60 units.

For drawing width

Drawing [tex]width=\frac{20}{5} \times 4 units[/tex]

Put the actual width in above equation.

Drawing [tex]width=\frac{20}{5} \times 4 units[/tex]

Drawing [tex]width=4 \times 4 [/tex]

Drawing [tex]width=16 units [/tex]

The drawing width is 16 units.

Therefore, the dimensions of the drawing scale are

60 units by 16 units