Question

aaron walks along the edge of a rug to measure its length, as shown. aaron knows that his shoe is 1 foot long. which is the best estimate of the length of the rug? 4 feet, 4\frac{1}{2} feet, 5 feet, 5\frac{1}{2} feet

Explanation:

Step1: Count the number of shoes

From the image, we can see that there are 5 shoes, but the last shoe is half - length (since it's not fully along the rug's edge like the others). So the total length in terms of shoe lengths is 4 full shoes and 1 half - shoe.

Step2: Calculate the length of the rug

Each shoe is 1 foot long. So the length of the rug is the length of 4 full shoes plus the length of the half - shoe. The length of 4 full shoes is \(4\times1 = 4\) feet, and the length of the half - shoe is \(\frac{1}{2}\) foot. So the total length is \(4+\frac{1}{2}=4\frac{1}{2}\) feet.

Answer:

\(4\frac{1}{2}\) feet