Answer:
The mural in David's drawing is 4 cm long.
Step-by-step explanation:
Given:
David made a scale drawing of a mural he is going to paint.
He used a scale of 1 cm=4ft.
If the actual mural will be 16 feet long.
Now, to find how long is the mural in David's drawing.
Let the length of mural in David's drawing be [tex]x\ cm[/tex].
So, as given 1 cm = 4 ft.
1 cm is equivalent to 4 ft.
Thus, [tex]x\ cm[/tex] is equivalent to 16 feet.
Now, to get the length of mural in David's drawing by using the cross multiplication method:
[tex]\frac{1}{4} =\frac{x}{16}[/tex]
By cross multiplication:
[tex]16=4x[/tex]
Dividing both sides by 4 we get:
[tex]4=x[/tex]
[tex]x=4\ cm.[/tex]
Therefore, the mural in David's drawing is 4 cm long.