Le périmètre est donné par \( 2(l + w) = 60 \) cm, ce qui devient \( 2(4w + w) = 60 \) cm.

["Optimize Your Space: Understanding the Perimeter Formula in Rectangles", "When designing a rectangular space—like a garden, room, or building—accurate perimeter measurement is essential. One key equation frequently used in geometry is ( 2(l + w) = P ), where ( l ) is the length and ( w ) is the width. This formula calculates the total distance around a rectangle: ( P ) is the perimeter, and the expression ( 2(l + w) ) adds all sides evenly.", "For a practical example, consider a rectangular area defined by a perimeter of ( 60 ) cm, given by:\n[\n2(l + w) = 60 \quad \ ext{cm}\n]", "To simplify this for a common scenario—where the width ( w ) is fixed and the length is expressed in terms of the width—we use ( l = 4w ). Substituting into the perimeter formula:\n[\n2(4w + w) = 60\n]\n[\n2(5w) = 60\n]\n[\n10w = 60\n]\n[\nw = 6 \ ext{ cm}\n]", "This means if the width is 6 cm, then the length is ( 4 \ imes 6 = 24 ) cm, ensuring the perimeter remains exactly 60 cm. This approach is especially useful in architecture, landscaping, and interior design, where precise measurements prevent costly errors and optimize material use.", "Understanding the perimeter equation empowers better planning—whether building a small shelter or laying tiles. Remember: the formula ( 2(l + w) = P ) is your foundation for accuracy, and substituting known ratios simplifies analysis. Mastering it helps transform dimensions into perfectly optimized spaces.", "Keywords: perimeter formula, rectangle perimeter, ( 2(l + w) = P ), architectural design, space optimization, geometric perimeter calculation, 2(l + w) = 60 cm", "Meta Description: Learn how ( 2(l + w) = 60 ) cm becomes ( 2(4w + w) = 60 ) to simplify rectangle design, ideal for builders and designers managing precise space dimensions."]