Question

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

Answer 1

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

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
`x\ cm.`

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,
`x\ cm` is equivalent to 110 m.

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

`(0.5)/(1) =(x)/(110)`

By cross multiplying we get:

`55=x`

`x=55\ cm`

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