1. Russell buys framing for his rectangular painting. His painting measures \( 10 \frac{1}{4} \) inch by \( 8 \frac{1}{4} \) inches. How many inches of framing should he buy?

To find out how much framing Russell needs, we first calculate the perimeter of the painting. The perimeter \( P \) of a rectangle is given by the formula \( P = 2 \times (length + width) \). First, convert \( 10 \frac{1}{4} \) inches and \( 8 \frac{1}{4} \) inches into improper fractions: \( 10 \frac{1}{4} = \frac{41}{4} \) inches and \( 8 \frac{1}{4} = \frac{33}{4} \) inches. Now, plug them into the formula: \[ P = 2 \times \left(\frac{41}{4} + \frac{33}{4}\right) = 2 \times \left(\frac{74}{4}\right) = 2 \times \frac{37}{2} = 37 \text{ inches.} \] So, Russell should buy **37 inches** of framing. --- For a visually appealing presentation, always measure twice and cut once! It's a common mistake to underestimate the measurements, leading to wasted materials or the need for extra trips to the store. Always double-check that your measurements are accurate before heading to the framing shop! When framing, consider the style of the frame and how it complements the artwork. Investigating different frame styles and materials can lead to delightful matches that enhance your painting and its setting. Websites like Pinterest are bursting with creative ideas for how to display art beautifully!