A rectangles diagonal is 13 cm, and one side is 5 cm. Find the area of the rectangle.

Tue, 05 May 2026 13:53:45 +0000

**A Rectangles diagonal is 13 cm, and one side is 5 cm. Find the area of the rectangle.** When anyone encounters a rectangle with a diagonal measuring 13 centimeters and one side measuring exactly 5 centimeters, the question immediately arises: what’s the area? This construction puzzle isn’t just a math problem — it’s gaining quiet attention in conversations around spatial design, home improvement, and digital content on geometry trends. The sharp contrast between known side lengths and the diagonal provides a compelling entry point for understanding how shape and dimension interact. Using the Pythagorean theorem, the rectangle’s hidden dimensions reveal themselves clearly. The diagonal forms two right triangles within the shape, with legs of 5 cm and an unknown side, while the hypotenuse equals 13 cm. Solving for the missing side gives √(13² – 5²) = √(169 – 25) = √144 = 12 cm. With both dimensions known — 5 cm and 12 cm — the area follows instantly: 5 × 12 = 60 square centimeters. This precise calculation unlocks clarity in a question many ask but rarely have answered with confidence. Beyond the math, this rectangle typifies real-world applications in carpentry, graphic design, and DIY projects where accurate measurements inform both function and layout. The consistent ratio of 5:12:13 confirms alignment with classic proportions used in construction and architecture, enhancing reliability in professional and personal tasks alike. Even without advanced tools, anyone can deduce the area using high school-level geometry — making the solution accessible and satisfying for curious learners.