What is the perimeter of the trapezoid?

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UpStudy AI · Accepted Answer

To determine the **perimeter of a trapezoid**, you need to know the lengths of all four sides. A trapezoid (or trapezium in some regions) is a quadrilateral with at least one pair of parallel sides, typically referred to as the **bases**. The other two sides are called the **legs**.

### **Formula for Perimeter:**
$$
\text{Perimeter} = \text{Base}_1 + \text{Base}_2 + \text{Leg}_1 + \text{Leg}_2
$$

### **Steps to Calculate:**
1. **Identify the Sides:**
   - **Base 1 (b₁):** One of the parallel sides.
   - **Base 2 (b₂):** The other parallel side.
   - **Leg 1 (l₁):** One of the non-parallel sides.
   - **Leg 2 (l₂):** The other non-parallel side.

2. **Measure Each Side:**
   - Use a ruler or measuring tool to find the length of each side if dealing with a physical trapezoid.
   - If working with a geometric problem, the lengths may be provided or calculable using other given information (like angles or heights).

3. **Add the Lengths Together:**
   $$
   \text{Perimeter} = b₁ + b₂ + l₁ + l₂
   $$

### **Example:**
Suppose you have a trapezoid with the following side lengths:
- Base 1 (b₁) = 8 cm
- Base 2 (b₂) = 5 cm
- Leg 1 (l₁) = 4 cm
- Leg 2 (l₂) = 4 cm

**Calculation:**
$$
\text{Perimeter} = 8\, \text{cm} + 5\, \text{cm} + 4\, \text{cm} + 4\, \text{cm} = 21\, \text{cm}
$$

So, the perimeter of this trapezoid is **21 centimeters**.

### **Note:**
If you have specific measurements or additional information about the trapezoid you're working with, feel free to provide them, and I can help you calculate the exact perimeter!
To find the perimeter of a trapezoid, add the lengths of all four sides: Base 1 + Base 2 + Leg 1 + Leg 2.

What is the perimeter of the trapezoid?

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