37. Algebra All 4 sides of a rectangle have the same length. If the perimeter is 16 inches, what is the

Certainly! Let's solve the problem step by step. **Problem Statement:** All 4 sides of a rectangle have the same length. If the perimeter is 16 inches, what is the length of each side? **Solution:** 1. **Understand the Shape:** - If all four sides of a rectangle are equal in length, the shape is a **square**. 2. **Formula for Perimeter:** - The perimeter \( P \) of a rectangle (or square) is calculated by: \[ P = 2 \times (\text{Length} + \text{Width}) \] - However, since it's a square, the length and width are the same. Let's denote each side as \( s \). \[ P = 4 \times s \] 3. **Given Perimeter:** - \( P = 16 \) inches 4. **Set Up the Equation:** \[ 4s = 16 \] 5. **Solve for \( s \):** \[ s = \frac{16}{4} = 4 \text{ inches} \] **Answer:** Each side of the rectangle (which is a square) is **4 inches** long.