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Dvinal [7]
3 years ago
7

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?
Mathematics
2 answers:
fiasKO [112]3 years ago
8 0
x-length\\\\From\ proportion:\\\\\frac{30}{10}=\frac{x}{4}\\\\10x=120\ \ \ \ \ \ |:10\\\\x=12\\\\It\ will\ be\ 12\ cm\ long
sertanlavr [38]3 years ago
7 0

Answer:

12 cm


Step-by-step explanation:

This is a proportionality/similarity problem.

10 cm turned to 4 cm. So by how much has it decreased? In other words, <em>10 multiplied by </em><em>WHAT</em><em> is 4?</em>

10*x=4\\x=\frac{4}{10}\\x=0.4

0.4 is also known as the scale factor from the large diagram to the small diagram.

So how much would 30 cm become?<em> It would be 30 multiplied by the scale factor, which is </em><em>0.4</em><em>.</em>

30*0.4=12

<u>Hence, the length of the reduced diagram would be </u><u>12 cm</u><u>.</u>

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