Question

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 would it be?

Answer 1

Answer:

Length = 10 cm

Step-by-step explanation:

The scaled down diagram would be proportional to the original diagram. That means, we can write a ratio of Length : Width for both and find the unknown.

Let the length of the reduced diagram be "x", thus we can say,

If 30 is to 10 (length is to width), then x is to 4

We can translate this into algebraic equation (ratio) as shown below:

$\frac{30}{10}=\frac{x}{4}$

Now, we cross multiply and solve for x:

$\frac{30}{10}=\frac{x}{4}\\10x=30*4\\10x=120\\x=\frac{120}{10}\\x=12$

So,

the reduced diagram has a leaf with length 10 cm