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A certain postage stamp is 2 inches long and \( \frac{5}{6} \) inches wide. What is the area of the stamp?

Ask by Hills Simpson. in the United States
Feb 25,2025

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Tutor-Verified Answer

Answer

The area of the stamp is \( \frac{5}{3} \) square inches.

Solution

The area of a rectangle is found by multiplying its length by its width. In this problem, the stamp's length is 2 inches and its width is 5⁄6 inches. So, the area is:   Area = length × width = 2 × (5⁄6) = 10⁄6 Simplifying 10⁄6 by dividing numerator and denominator by 2 gives:   10⁄6 = 5⁄3 Thus, the area of the stamp is 5⁄3 square inches.

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The Deep Dive

To find the area of the postage stamp, you can use the formula for the area of a rectangle, which is length multiplied by width. Here, the length is 2 inches and the width is \( \frac{5}{6} \) inches. Area = Length × Width Area = 2 inches × \( \frac{5}{6} \) inches Area = \( \frac{10}{6} \) square inches Area = \( \frac{5}{3} \) square inches or approximately 1.67 square inches. So, the area of the stamp is \( \frac{5}{3} \) square inches! And, remember to always check if your units are consistent. Using inches here is great, but in different contexts, like when working with different measuring systems, it can get tricky! Always clarify if the measurements are in inches, centimeters, or any other unit, so you can ensure you're calculating accurately!

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