Math Puzzle for May 23, 2025

Ah, those Greeks with their horse and the Golden Rectangles

A classical Golden Rectangle is inscribed within a 30°-60°-90° triangle.
Two vertices of the rectangle are tangent to the legs of the triangle.
The area of the Golden Rectangle is 981.1242288896 square meters.

Find the area A of the entire 30°-60°-90° triangle.

First correct answer received at [email protected] wins a Tucker’s ice cream gift card.

Last week’s winner was John Lovato with A = 77.47 square centimeters.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected].