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Math Puzzle for December 6, 2024

by Jeff Smith On In Puzzles | Comments Disabled

The pentagon is trapped within a triangle and a defense budget

Alameda Post - a right triangle AOB sits at the origin O of a graph. The line usually labeled X is labeled B, and the line usually labeled Y is labeled A. The origin is labeled O. Within the AOB triangle, a pentagon sits. One of the sides of the pentagon is on the B axis and one of the sides of the pentagon is on AB triangle side. A corner of the pentagon touches the A axis. [1]A regular pentagon is inscribed within triangle AOB.
The area of triangle AOB is 218,210.8659 square inches.
Find the area A of the pentagon.

A = ______ square inches

First correct answer to be received at [email protected] [2] wins a valuable gift card for Tucker’s Ice Cream of Alameda.

Last week’s winner [3] was John Lovato with A = 120 square units.

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