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Anya makes a scale drawing of a bug. The scale of the drawing’s length to the actual bug’s length is 2 inches: 1/8 inch. The actual bug is 3/4 inch long. How long is Anya’s drawing of the bug.

User Mulone
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1 Answer

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Hello!

The answer is: The Anya's drawing is 6 inches long.

Have a nice day!

Why?

To solve this problem, we need to consider the drawing's length with respect to the actual bug's size, so, the scale factor is:


2in:(1)/(8)in\\\\2x(in):(3)/(4)in

So, how long is Anya's drawing of the bug?

We can find it, using the following equation:


(2x)in=(2in*(3)/(4)in)/((1)/(8)in)=((6)/(4)in)/((1)/(8)in)=((3)/(2)in )/((1)/(8)in)\\\\(2x)in=((3)/(2)in )/((1)/(8)in )=(3)/(2)in*(8)/(1)in=12in^(2)\\\\(2x)in=12in^(2) \\\\x=(12in^(2) )/(2in)=6in

Hence, the Anya's drawing is 6 inches long.

Have a nice day!

User VictorBian
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8.4k points
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