A rectangle has a perimeter of 60 cm. If its length is three times its width, what is the area of the rectangle?
["Why the Rectangle with a 60 cm Perimeter and Three Times Length Sobers Attention Online", "Curious why a simple math question about rectangles is gaining traction? The query “a rectangle has a perimeter of 60 cm. If its length is three times its width, what is the area?” reflects a quiet but growing interest in precision, practical geometry—especially among mobile users researching STEM topics, home design, or personal problem-solving. This isn’t just math for students; it’s part of a broader digital trend toward understanding spatial reasoning, efficient space use, and data-driven decision-making.", "In a world focused on value, clarity, and real-world application, this type of problem connects to everyday life—from optimizing room layouts and construction materials to understanding spatial efficiency in living or working spaces. Curious users seek accurate steps that match real-world constraints, not abstract answers. The detailed breakdown below transforms this routine math into a reliable, trustworthy resource with powerful discoverability potential.", "---", "### How to Solve a Rectangle with a 60 cm Perimeter and Length Three Times Width", "The problem centers on a rectangle with a fixed perimeter—60 centimeters—and a proportional relationship between length and width. Since the length is three times the width, the key lies in expressing both dimensions in terms of a single variable.", "Let width = \( w \), then length = \( 3w \). The perimeter formula is \( P = 2(\ ext{length} + \ ext{width}) \). Substituting values gives: \n\( 60 = 2(3w + w) = 2(4w) = 8w \) \nSolving for \( w \), divide both sides by 8: \n\( w = 7.5 \, \ ext{cm} \) \nThus, length \( = 3 \ imes 7.5 = 22.5 \, \ ext{cm} \)", "To find the area, use the formula \( A = \ ext{length} \ imes \ ext{width} \): \n\( A = 22.5 \ imes 7.5 = 168.75 \, \ ext{cm}^2 \)", "This structured approach mirrors how professionals and educated readers break down similar problems—clear, logical, and grounded in measurable real-world constraints.", "---", "### A Rectangle with a 60 cm Perimeter—Why This Matters in the US Market", "This rectangle equation isn’t just a classroom exercise—it reflects a persistent interest in problem-solving through geometry, relevant across many U.S. contexts. From home improvement guides to interior design trends and construction planning, understanding spatial math helps individuals and small businesses make informed decisions.", "As living spaces shrink and utility grows, optimizing area within fixed perimeters becomes practical knowledge. The rise in DIY renovation interest"]
