The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet

Respuesta :

Answer:

Distance on drawing is 11.7 feet.

Step-by-step explanation:

A scale is a factor that can be used to either increase or decrease the size of an object.

Scale = [tex]\frac{distance on drawing}{original distance}[/tex]

Given that:

scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches

So,

[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]

distance on drawing = [tex]\frac{3*93}{2}[/tex]

                               = [tex]\frac{279}{2}[/tex]

                               = 139.5

distance on drawing = 139.5 inches

Since 12 inches = 1 foot, then;

Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]

                                              = 11.625 feet

Distance on drawing is 11.7 feet.