(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The Question is:

"A 400km racetrack is to be built with two straight sides and semicricles at the ends. Find the dimensions of the track that encloses the maximum area."

The two long sides of the rectangle are written with >/= to 100m (each)

The straight side of the 2 semi circles is written with >/= to 20m (each)

(>/= means greater than or equal to, just in case)

2. Relevant equations

Area of semicircle = 1/2 * pr2

Area of rectangle = lw

3. The attempt at a solution

Well i tried but its always the beginning setting up of optimization problems that is the killer, the rest is always easy. It is a study Q for an upcoming test.

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# Homework Help: Optimization Problem argh

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