An archaeologist discovers a stepped pyramid with 7 levels, each level a square platform decreasing by 5 meters per side from the level below. The base level is 40 meters on each side. What is the total footprint area, in square meters, of all platform levels combined?

Thu, 07 May 2026 20:06:39 +0000

Discover the Hidden Geometry of Ancient Mesoamerican Design Beneath modern satellites and digital maps, a remarkable structure reveals itself—deeply layered, precisely stepped, and steeped in history. An archaeologist recently uncovered a stepped pyramid rising in seven distinct levels, each progressively smaller than the last. The base spans 40 meters on each side, with every level reducing by 5 meters per side toward the top. Curious about how this carefully engineered form shapes its footprint—and what it reveals about ancient builders’ math and intention? The total area of all platform levels combined tells a new story not just of architecture, but of cultural precision and spatial planning. This layered stacking—beginning at 40 meters per side and shortening by 5 meters with each tier—creates a distinctive geometric pattern. At first glance, one might assume a simple square subtraction, but the stepped nature deepens the surface complexity. Each platform doesn’t just shrink; it forms a level surface within the architectural hierarchy, preserving a clear footprint downward. The enduring appeal lies not only in scale but in the deliberate consistency—each level functions both structurally and symbolically. For those exploring ancient their legacy, understanding this footprint brings the past vividly into focus. So, what is the exact total area covered by all seven platforms? Using basic geometry, each level’s footprint forms a square with side lengths: 40, 35, 30, 25, 20, 15, and 10 meters. Multiplying each by itself reveals a cumulative sum of square meters. The calculations—40² + 35² + 30² + 25² + 20² + 15² + 10²—yield 2,400 + 1,225 + 900 + 625 + 400 + 225 + 100, totaling 5,125 square meters. This total reflects not just size, but the intentional footprint left by generations.