Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the length of the field on the drawing?
A.109.5 cm
B.110.5 cm
C.220 cm
D. 55 cm

Respuesta :

Answer:

The length of the field on the drawing is 55 cm that is option D.

Step-by-step explanation:

Given:

Mark made a scale drawing of a soccer field, using a scale of .5 cm=1 m.

The actual length of the field is 110 m.

Now, to find the length of the field on the drawing.

Let the length of the field on drawing be [tex]x\ cm.[/tex]

As given,

Drawing of a soccer field, using a scale of 0.5 cm=1 m.

So, 0.5 cm is equivalent to 1 m.

Thus, [tex]x\ cm[/tex] is equivalent to 110 m.

Now, to get the length of the field on the drawing by using cross multiplication:

[tex]\frac{0.5}{1} =\frac{x}{110}[/tex]

By cross multiplying we get:

[tex]55=x[/tex]

[tex]x=55\ cm[/tex]

Therefore, the length of the field on the drawing is 55 cm that is option D.