Question

Aaliyah runs on a triangular track in a local park. On Saturday, she runs one lap around track FED. The length of each path on this track is shown in meters (m) in the diagram below.

Answer 1

If track FED is similar in shape to track ABC, how many meters, rounded to the nearest tenth, would Violet run in one lap on track FED? Type the numeric answer only in the box below.

Answer 2

You first need to find the ratio between the side you know from track FED which is 14 and the same side from track ABC.

Answer 3

What length side do I refer to in track ABC?

Answer 4

is it the side with 5m

Answer 5

Correct so the ratio will be\[\frac{14}{5}=2.8\]

Answer 6

Ok now let's test this out.....

If you multiply
\[5*2.8=?\]
What do you get?

Answer 7

14

Answer 8

Yes so the ratio works. From side 5 we got side 14


All you need to do that with the rest of the sides of track ABC

\[12*2.8=?\]
\[13*2.8=?\]

Answer 9

we are so close to the answer....if you just tell me what you got.

Answer 10

33.6
36.4

Answer 11

Ok now you add all the sides together

33.6 + 36.4 +14 = 84

Answer 12

So it would be 84 meters she would need to run

Answer 13

thank you