the length be if the width of the rectangle is 12 cm ? 2. A playground is 48 m long and 36 m wide. If Andrew walked around the playground twice, find the total distance he walked.

Sure, let's address both of your questions: --- ### **1. Determining the Length of a Rectangle** **Given:** - Width of the rectangle = 12 cm **Missing Information:** To find the length of the rectangle, additional information is required. Typically, you would need either the **perimeter** or the **area** of the rectangle. **Possible Scenarios:** - **If the Perimeter is Known:** The formula for the perimeter \( P \) of a rectangle is: \[ P = 2 \times (\text{Length} + \text{Width}) \] If you provide the perimeter, you can rearrange the formula to solve for the length: \[ \text{Length} = \frac{P}{2} - \text{Width} \] - **If the Area is Known:** The formula for the area \( A \) of a rectangle is: \[ A = \text{Length} \times \text{Width} \] If you provide the area, you can solve for the length: \[ \text{Length} = \frac{A}{\text{Width}} \] **Please provide either the perimeter or the area of the rectangle to determine its length.** --- ### **2. Calculating the Total Distance Andrew Walked Around the Playground** **Given:** - **Length of the playground:** 48 meters - **Width of the playground:** 36 meters - **Number of laps Andrew walked:** 2 **Steps to Calculate the Total Distance:** 1. **Calculate the Perimeter of the Playground:** The perimeter \( P \) of a rectangle is calculated using: \[ P = 2 \times (\text{Length} + \text{Width}) \] Plugging in the given values: \[ P = 2 \times (48\, \text{m} + 36\, \text{m}) = 2 \times 84\, \text{m} = 168\, \text{meters} \] So, one complete lap around the playground is **168 meters**. 2. **Determine the Total Distance for Two Laps:** \[ \text{Total Distance} = \text{Perimeter} \times \text{Number of Laps} = 168\, \text{m} \times 2 = 336\, \text{meters} \] **Answer:** Andrew walked a total of **336 meters** around the playground. --- If you can provide the additional details for the first question, I'd be happy to help you find the length of the rectangle!