Sharon is decreasing the size of a diagram of a leaf that is 30 centimeters long by 10 centimeters wide. If the reduced diagram is 4 centimeters wide, how long will it be?

Respuesta :

ratio 30:10 = x:4
30/10 =x/4
cross multiply
10x = 120
x = 120/10
x =12

answer:
If the reduced diagram is 4 centimeters wide, long will it be 12

Answer : The length of leaf will be, 12 cm

Step-by-step explanation :

Let the length of leaf be, 'x' cm

Given:

Length of leaf = 30 cm

Width of leaf = 10 cm

Reduced width of leaf = 4 cm

Now we have to determine the reduced length of leaf.

[tex]\frac{30cm}{10cm}=\frac{(x)}{4cm}[/tex]

By solving the term 'x', we get the value of x.

[tex]x=\frac{30cm}{10cm}\times 4cm[/tex]

[tex]x=12cm[/tex]

Thus, the length of leaf will be, 12 cm