Find the length of the base indicated for each trapezoid.

Question

Top left corner (U)
Left Middle side (S)
Bottom left corner(T)
Right top corner(V)
middle right side (R)
Right bottom Corner(W)
Top Middle (24)
Bottom middle(?)
Center(29)
Question 2 options:

34

31

45

30

Answer 1

To find the length of the base indicated for the trapezoid described in your question, we need to use the relationship between the measurements given.

You mentioned:

• Top Middle is 24
• Center is 29
• Bottom Middle is unknown (let's denote it as \( b \))

For trapezoids, the bases can be found using the property that the average of the lengths of the two bases is equal to the length of the segment connecting the midpoints of the two bases.

Using the average formula, we have:

\[ \text{Average of the bases} = \frac{\text{Base}_1 + \text{Base}_2}{2} \]

Here, since we are provided with the top middle and center, and we denote the bottom middle as \( b \):

\[ \frac{24 + b}{2} = 29 \]

Now, we solve for \( b \):

1. Multiply both sides by 2: \[ 24 + b = 58 \]

2. Subtract 24 from both sides: \[ b = 34 \]

Thus, the length of the bottom middle (base) is \( 34 \).

Among the answer choices (34, 31, 45, 30), the correct answer is 34.