74) Find the area of the rectangle below. \( \begin{array}{l}\frac{2}{3} \\ \frac{3}{5}\end{array} \)
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To find the area of the rectangle, you simply multiply the lengths of the two sides. In this case, the sides are \(\frac{2}{3}\) and \(\frac{3}{5}\). So, the area \(A\) is calculated as follows: \[ A = \frac{2}{3} \times \frac{3}{5} = \frac{2 \times 3}{3 \times 5} = \frac{6}{15} = \frac{2}{5} \] So, the area of the rectangle is \(\frac{2}{5}\) square units! In the world of geometry, understanding how to find the area of different shapes can come in handy for practical tasks, like designing a garden or planning an interior room layout. Knowing the area helps you determine how much material you'll need, whether it's paint, flooring, or even plants! Just remember, it all starts with basic multiplication of the dimensions!