9. A trapezoid with no right angles and an area less than 25 square feet.

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To solve the problem regarding a trapezoid with no right angles and an area less than 25 square feet, we need to extract the known conditions and then analyze the properties of trapezoids.

### Known Conditions:
1. The shape is a trapezoid.
2. There are no right angles in the trapezoid.
3. The area of the trapezoid is less than 25 square feet.

### Step-by-Step Analysis:

1. **Understanding the Area of a Trapezoid**:
   The area $$ A $$ of a trapezoid can be calculated using the formula:
   $$
   A = \frac{1}{2} (b_1 + b_2) h
   $$
   where $$ b_1 $$ and $$ b_2 $$ are the lengths of the two parallel sides (bases), and $$ h $$ is the height of the trapezoid.

2. **Setting Up the Inequality**:
   Since the area is less than 25 square feet, we can set up the inequality:
   $$
   \frac{1}{2} (b_1 + b_2) h < 25
   $$

3. **Rearranging the Inequality**:
   To make it easier to analyze, we can multiply both sides by 2:
   $$
   (b_1 + b_2) h < 50
   $$

4. **Exploring Possible Values**:
   Since there are no specific values given for $$ b_1 $$, $$ b_2 $$, or $$ h $$, we can explore various combinations of these variables that satisfy the inequality.

For example:
   - If $$ b_1 = 10 $$ feet and $$ b_2 = 5 $$ feet, we can find $$ h $$:
     $$
     (10 + 5) h < 50 \implies 15h < 50 \implies h < \frac{50}{15} \approx 3.33 \text{ feet}
     $$
   - If $$ b_1 = 8 $$ feet and $$ b_2 = 6 $$ feet, we can find $$ h $$:
     $$
     (8 + 6) h < 50 \implies 14h < 50 \implies h < \frac{50}{14} \approx 3.57 \text{ feet}
     $$

5. **Conclusion**:
   The trapezoid can have various dimensions as long as the area remains less than 25 square feet. The specific values of $$ b_1 $$, $$ b_2 $$, and $$ h $$ can be adjusted to meet the area requirement while ensuring that no right angles are present.

If you have specific dimensions or further constraints in mind, please provide them for a more tailored solution!
A trapezoid with no right angles and an area less than 25 square feet can have various dimensions as long as the area formula $$ \frac{1}{2} (b_1 + b_2) h < 25 $$ is satisfied. For example, if the two bases are 10 feet and 5 feet, the height must be less than approximately 3.33 feet.

9. A trapezoid with no right angles and an area less than 25 square feet.

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