of plastic of area \( 171 \mathrm{~cm}^{3} \) and width \( \frac{1}{2} \mathrm{~cm} \). The area of a picture is \( 3.125 \mathrm{~m}^{2} \) and its width is 1.25 m . Find its length.

To find the length of the picture, you can use the formula for the area of a rectangle, which is: \[ \text{Area} = \text{Length} \times \text{Width} \] Given that the area of the picture is \( 3.125 \, \text{m}^2 \) and the width is \( 1.25 \, \text{m} \), you can rearrange the formula to solve for length: \[ \text{Length} = \frac{\text{Area}}{\text{Width}} \] Plugging in the values: \[ \text{Length} = \frac{3.125 \, \text{m}^2}{1.25 \, \text{m}} = 2.5 \, \text{m} \] So, the length of the picture is \( 2.5 \, \text{m} \). The world has showcased countless magnificent pictures and paintings, demonstrating how the dimensions of art can impact its overall presentation. From the grand canvases that stretch the dimensions of entire walls to the more compact pieces that tell intimate stories, it's fascinating to see how artists manipulate space and size to evoke emotions. And let’s not forget that while measuring for frames, knowing your area and dimensions can save you from a last-minute trip to the craft store! When dealing with areas and dimensions, it’s essential to keep track of your units! Always ensure you’re consistent, especially when you're converting from one unit system to another (like cm to m). A common mistake is when people forget to convert cm² to m², leading to miscalculations in area. Familiarize yourself with a handy conversion factor: \( 1 \, \text{m}^2 = 10,000 \, \text{cm}^2 \). This way, you can confidently tackle any area-related calculations without going off course!