Math Puzzle for July 12, 2024

A heat wave in Alameda is respite in Manteca, a flip-flop is a surrogate for a shower shoe

Alameda Post - a diagram of a triangle made by connecting an x and y axis with a line, the hypotenuse. Inside the triangle are a serious of boxes that begin largest closest to the origin and get progressively smaller towards where the hypotenuse line intersects the x axis. The boxes are all touching each other

Above is an infinite series of squares trapped beneath a line.
The line obeys the equation … y = m x + b … where m = − 5/12 and b = 55.
Due to time constraints, only five of the infinite series of squares are drawn.
Each square is surmounted by a right triangle.
Find the sum S of the areas of the infinite series of right triangles.

S = _________ square units

The first correct answer sent to [email protected] wins a Gift Card worth much ice cream at Tucker’s Ice Cream in Alameda.

Last week’s winner was Xavier Strand with A = 1011 in²

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

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