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Question Video: Finding the Real Distance and Type of Scaling given the Scale Ratio and the Drawing Distance Mathematics • 7th Grade

The table below shows some information about a scale drawing. Complete the missing details, including whether the drawing is a magnification or reduction from real life.

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Video Transcript

The table below shows some information about a scale drawing. Complete the missing details, including whether the drawing is a magnification or reduction from real life.

And what we’re gonna do first of all is take a look at the scale. And what the scale tells us is that it’s 22 to one. And what we can see is that the 22 refers to the drawing distance, so it’s 22 parts, and the one refers to the real distance. So therefore, what we can see is that the drawing distance is in fact going to be bigger than the real distance. So therefore, we can surmise that this is actually going to be a reduction. However, what we can do is check this out by putting in our values.

So what we know is that the drawing distance is 66 centimeters. And we need to see how we get from 22 to 66. Well, what we do is we multiply by three. And if we multiply one by three, we’re gonna get three. So we know that the drawing distance is 66 centimeters. And therefore, the real distance is gonna be three centimeters. However, this is not quite the answer we want because if we check the table, the table says the real distance in millimeters.

So we need to remind ourselves of one of our conversion factors. And that is that one centimeter is equal to 10 millimeters. So therefore, the real distance is gonna be 30 millimeters because it’s three multiplied by 10, which gives is 30. And we know and can confirm that in fact it’s going to be a reduction from real life because we can see that the real-life distance is in fact smaller than the drawing distance.

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