A rectangle has a perimeter of 60 cm. If the length is twice the width, what is the area of the rectangle?
["The Rectangle with a 60-CM Perimeter: How Length and Width Shape Area — and Why It Matters", "Have you ever stared at a rectangle and wondered how its size comes from just a few simple measurements? The question “A rectangle has a perimeter of 60 cm. If the length is twice the width, what is the area?” isn’t just a math riddle — it’s a snapshot of practical geometry used in design, construction, and everyday problem-solving across the U.S. Whether planning renovation layouts, sourcing materials, or studying patterns in architecture and product design, understanding how perimeter and proportions affect area reveals surprising insights into efficiency, cost, and spatial planning.", "Why This Problem Is Trending Across the U.S.", "In recent years, there’s growing interest in spatial efficiency—from compact urban living to smart retail design. People increasingly seek optimal use of space, making dimensional relationships like perimeter to area familiar topics in home improvement forums, DIY blogs, and professional planning circles. These calculations reflect real-world decisions about room layout, fencing, floor plans, and packaging longevity—where every centimeter and square centimeter counts.", "The Math That Explains Efficiency", "Let’s ground this question in clear, reliable math.", "Let the width of the rectangle be \( w \) cm. \nThen the length is \( 2w \), since it’s twice the width. \nThe perimeter of a rectangle is given by: \n\[\nP = 2 \ imes (\ ext{length} + \ ext{width}) = 2 \ imes (2w + w) = 2 \ imes 3w = 6w\n\]", "Given the perimeter is 60 cm: \n\[\n6w = 60 \Rightarrow w = 10\n\] \nSo, the width is 10 cm, and the length is \( 2 \ imes 10 = 20 \) cm.", "Area is calculated by: \n\[\n\ ext{Area} = \ ext{length} \ imes \ ext{width} = 20 \ imes 10 = 200 \ ext{ cm}^2\n\]", "So, this rectangle spans a practical footprint combining both efficiency and usable space.", "**"]
