Video Transcript
A square-shaped yard with a side
length of 91 meters was mapped with a drawing scale of one to 700. Determine its area in the scaled
drawing in square centimeters.
Okay, so in this problem, the first
thing we want to do is work out what the length would be on our drawing. So we have a scale which is one to
700 which means that on our drawing, one centimeter equals 700 centimeters in real
life, or one meter equals 700 meters in real life. Well, because the question wants us
to look at square centimeters, what we’re gonna do is use one of our conversion
factors to convert the real distance to centimeters. We know that one meter is equal to
100 centimeters. So then we know that the real-life
distance is gonna be equal to 9,100 centimeters cause 91 multiplied by 100 is
9,100.
Well, we can see that to get from
700 to 9,100, you multiply by 13. And we can do that again by
dividing 9,100 by 700 using the calculator. Or if we use the bus stop method or
the short division, we can see that 91 divided by seven is 13. So the same as 91, 100 or 9,100
divided by 700 is gonna give us 13. So then if we multiply one by 13,
we get 13. So therefore, we know that each
side of the yard, so our square yard, is gonna be 13 centimeters on our diagram.
Well, now we’ve got the length of a
side of the square. Then what we need to do is work out
the area cause the question wants us to work out the area. Well, the area of a square is equal
to 𝐿 squared, so the length squared. So the area is gonna be equal to 13
squared, which will give an area in the scale drawing of 169 centimeters
squared.
