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Math Puzzle for June 13, 2025

by Jeff Smith On In Puzzles | Comments Disabled

Golden Rectangle starts to lose its luster

Alameda Post - a rectangle inside of an ellipse inside of a rectange [1]

An ellipse is one of four conic sections, i.e. instruments of anguish in math classes.
The ellipse obeys the equation: ( x/a ) ² + ( y/b ) ² = 1.
In this specific case a = 40, while b = 30. An ellipse is one of four conic sections, i.e. instruments of anguish in math classes.
The rectangle inscribed within the ellipse is a Golden Rectangle.
The outer rectangle is a run-of-the-mill, nondescript, blasé rectangle.

Find the areas of the Golden Rectangle A1 and the outer Rectangle A2.

First correct answer arriving at [email protected] [2] wins a Tucker’s ice cream gift card.

Last week’s winner [3] was Matt Thachet with 7,750 pages.

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected] [2].