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, 4½ feet, 5 feet, 5½ feet

Explanation:

Step1: Count the number of shoes

Looking at the image, there are 4 full shoes and a partial shoe (about half a shoe) on the rug. But wait, actually, when measuring the length, we see that the rug's length is covered by 4 full shoes and then a part that's about half a shoe? Wait, no, let's re - examine. Wait, the shoes are placed along the rug. Wait, the first four shoes are fully on the rug, and the fifth shoe is partially? Wait, no, the problem is about the length of the rug. Wait, Aaron's shoe is 1 foot long. Let's count the number of shoe - lengths. Wait, the rug has a length that is 4 full shoes plus a half? Wait, no, looking at the image, there are 4 shoes fully on the rug, and then a part that's about half a shoe? Wait, no, maybe I misread. Wait, the options are 4, \(4\frac{1}{2}\), 5, \(5\frac{1}{2}\). Wait, let's count the number of shoes: there are 4 shoes fully on the rug, and then a part that's half a shoe? Wait, no, the fifth shoe is partially on the rug. Wait, the length of the rug is equal to the length of 4 full shoes plus half of a shoe? Wait, no, maybe the rug's length is 4 and a half feet? Wait, no, let's think again. Each shoe is 1 foot. The rug has 4 shoes and then a half - shoe length? Wait, the image shows 4 full shoes and a half - shoe (the fifth shoe is half on the rug). So the total length is \(4 + \frac{1}{2}=4\frac{1}{2}\) feet? Wait, no, wait the fifth shoe: is the rug's length equal to 4 and a half shoe lengths? Wait, let's count the number of shoes: there are 5 shoes, but the fifth is only half on the rug? No, maybe the rug's length is 4 and a half feet. Wait, the options are 4, \(4\frac{1}{2}\), 5, \(5\frac{1}{2}\). Let's see: the first four shoes are fully on the rug, and the fifth shoe is half on the rug. So the length is \(4\times1+\frac{1}{2}\times1 = 4\frac{1}{2}\) feet? Wait, no, maybe I made a mistake. Wait, the rug is under 4 full shoes and a half - shoe. So the length is \(4\frac{1}{2}\) feet? Wait, but let's check the options. The options are 4, \(4\frac{1}{2}\), 5, \(5\frac{1}{2}\). Wait, maybe the rug's length is 4 and a half feet. Wait, no, maybe the fifth shoe is almost fully on? No, the image shows that the fifth shoe is partially on the rug. Wait, maybe the correct answer is \(4\frac{1}{2}\) feet. Wait, let's re - evaluate. Each shoe is 1 foot. The number of shoes: 4 full shoes and a half - shoe. So total length is \(4+\frac{1}{2}=4\frac{1}{2}\) feet.

Step2: Match with the options

Among the options, \(4\frac{1}{2}\) feet is one of the choices.

Answer:

\(4\frac{1}{2}\) feet (the option: \(4\frac{1}{2}\) feet)