A Norman Window Has the Shape of a Rectangle Surmounted

question 135

Essay

A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is ft, find the dimensions of the window so that the greatest possible amount of light is admitted.

---

Definitions:

Divorce

The legal termination of a marriage by a court or other competent body, dissolving the bonds of matrimony between the parties.

Incarceration Rates

The number of individuals within a population who are confined in prison or jail, expressed per 100,000 of the population, often highlighting disparities among racial or socio-economic groups.

Poverty

A socio-economic condition characterized by a lack of financial resources and access to basic needs necessary for living.

Economic Pressures

Economic pressures refer to the various financial strains and stresses that individuals, families, businesses, and governments face due to factors such as inflation, unemployment, and high costs of living.