A Rectangular Lot Is to Be Bounded by a Fence

question 281

Essay

A rectangular lot is to be bounded by a fence on three sides and by a wall on the fourth side. Two kinds of fencing will be used with heavy duty fencing selling for $4 a foot on the side opposite the wall. The two remaining sides will use standard fencing selling for $3 a foot. What are the dimensions of the rectangular plot of greatest area that can be fenced in at a cost of $25,920?

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Definitions:

Psychotherapy

Treatment involving psychological techniques; consists of interactions between a trained therapist and someone seeking to overcome psychological difficulties or achieve personal growth.

Psychiatrist

A medical doctor specialized in the diagnosis, treatment, and prevention of mental illnesses and disorders.

Social Psychologist

A specialist in understanding how individual behavior and thought are influenced by social environments and interactions.

Developmental Psychologist

A professional who studies the psychological growth of individuals, from infancy through adulthood, focusing on developmental stages and processes.