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Mathematics 9 Online
OpenStudy (smart1012):

I'll fail if I miss this question... Please help.... NOT DIFFICULT.

OpenStudy (smart1012):

OpenStudy (smart1012):

Cory is building an enclosure with recycled cardboard for her collection of model cars. Her design is as shown below:

OpenStudy (smart1012):

What is the length of side EF in inches? (6 points) 15 25 30 45

OpenStudy (adoni):

Okay, so the easiest way to do this is to compare the measurements of both the design and the project. Look at the length of ML on Cory's Design and then compare it to the length of DC on Cory's Project. What are the two lengths?

OpenStudy (adoni):

@smart1012

OpenStudy (smart1012):

What lengths?

OpenStudy (adoni):

Do you see how in Cory's Design the length of ML is 8 in.?

OpenStudy (smart1012):

Oh yes! Sorry, was confused. DC is 40 in.

OpenStudy (adoni):

That's right! So what do you multiply 8 by in order to get the product of 40?

OpenStudy (smart1012):

5

OpenStudy (adoni):

That's correct. So Cory's Project is 5 times bigger than Cory's Design. If NH is 5 inches according to Cory's Design, what is the measurement of EF in Cory's Project (Hint: Multiply by 5)?

OpenStudy (smart1012):

What do I multiply by 5?

OpenStudy (smart1012):

25? Is that the answer?

OpenStudy (adoni):

Yes, that is correct. See, you first have to figure out how many times bigger the project is than the diagram by comparing the lengths of two of the same lines (in this case we compared the lengths of ML and DC to find that the project is 5 times bigger than the diagram). Take this formula for example: n= the number of how many times bigger the project is than the diagram ML=8 DC= 40 8 * n = 40 8 * 5 = 40 --------- n=5 NH= 5 EF= n (as previously stated) n = 5 5 * 5 = 25 ---------- EF = 25

OpenStudy (smart1012):

Thank you so much! Could you help me with a few more? (Btw, that made a lot of sense)!

OpenStudy (adoni):

You're welcome! Sure, I'd be happy to help. Just tag me in your new question when you are ready. :)

OpenStudy (smart1012):

Thanks!

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