Answer:
The mural in David's drawing is 4 cm long.
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
.
So, as given 1 cm = 4 ft.
1 cm is equivalent to 4 ft.
Thus,
is equivalent to 16 feet.
Now, to get the length of mural in David's drawing by using the cross multiplication method:
![(1)/(4) =(x)/(16)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kczzslm1naxfsp2vn04ss8fmg95udrcuv1.png)
By cross multiplication:
![16=4x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/46x2v20y4gm3e48dzupaqpl4hejflanz29.png)
Dividing both sides by 4 we get:
![4=x](https://img.qammunity.org/2020/formulas/mathematics/college/dskihlek6fyjo6xir0cippclc84l3bjui3.png)
![x=4\ cm.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xuwqfmgqo1bux8v16fob4uicqqslyxk8d6.png)
Therefore, the mural in David's drawing is 4 cm long.