Since the trapezoid has been enlarged by a scale factor of 2, we can find the original dimensions by dividing the dimensions of the larger trapezoid by 2.
Given the information:
- Larger trapezoid top side length: 24
- Larger trapezoid right side length: 9
- Larger trapezoid bottom side length: 14
- Larger trapezoid left side length: 9
Now we divide each of these lengths by the scale factor of 2:
- Top side length of the original trapezoid: \( \frac{24}{2} = 12 \)
- Right side length of the original trapezoid: \( \frac{9}{2} = 4.5 \)
- Bottom side length of the original trapezoid: \( \frac{14}{2} = 7 \)
- Left side length of the original trapezoid: \( \frac{9}{2} = 4.5 \)
So we find out the missing left side length in the original trapezoid:
Now let's confirm the values:
- Top: 12 (original) -> 24 (enlarged)
- Right: 4.5 (original) -> 9 (enlarged)
- Bottom: 7 (original) -> 14 (enlarged)
- Left: 4.5 (original) -> 9 (enlarged)
Since both the original and the enlarged trapezoids had a left side value divided to give us a correct comparison with the original which is 4.5, the options listed from the choices:
- 4.5
- 9
- 13.5
- 18
The missing side length in the original trapezoid is 4.5, which is the left side length.
6 answers