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?
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.
\(\frac{30cm}{10cm}=\frac{(x)}{4cm}\)
By solving the term 'x', we get the value of x.
\(x=\frac{30cm}{10cm}\times 4cm\)
\(x=12cm\)
Thus, the length of leaf will be, 12 cm