A rectangular room is 2 meters longer than it is wide, and its perimeter is 20 meters. Find the dimension of the room. The length is: \( \square \) meters and the width is

To find the dimensions of the room, we can start by letting the width be \( w \) meters. Since the length is 2 meters longer than the width, we can express the length as \( w + 2 \) meters. The formula for the perimeter of a rectangle is given by: \[ P = 2(\text{length} + \text{width}) = 20 \] Substituting the values we have: \[ 2((w + 2) + w) = 20 \] This simplifies to: \[ 2(2w + 2) = 20 \] \[ 4w + 4 = 20 \] \[ 4w = 16 \] \[ w = 4 \] Now, substituting back to find the length: \[ \text{length} = w + 2 = 4 + 2 = 6 \] So, the dimensions of the room are: The length is **6** meters and the width is **4** meters. Now, let’s take a historical dive into the importance of room dimensions! Did you know that the concept of standard room dimensions has been around since ancient civilizations? Egyptian architects employed specific proportions for chambers to enhance both aesthetics and functionality! For real-world applications, understanding how to calculate room dimensions is vital when planning furniture layouts or renovations. Proper dimensions ensure comfort and efficient use of space, whether for residential designs or commercial settings. Plus, it helps in budgeting skills for materials needed!