Programming
Write a Static Method Named RandomRects That Calculates and Displays

question 5

Essay

Programming
Write a static method named randomRects that calculates and displays the area of randomly-generated rectangles. The width and height of each rectangle should be a randomly generated integer between 1 and 10 inclusive. Your method should keep generating random rectangles until an increasing sequence of four areas is printed. In other words, if the last four rectangles generated have areas of a1, a2, a3 and a4 such that a1 < a2 < a3 < a4, the method should print the final message and stop. So your method will generate at least 4 total rectangles but possibly many more, stopping only when it sees 4 in a row with areas in increasing order.
The following calls demonstrate your method's behavior. Your method should match this output format exactly:
$\begin{array}{l|l|l}\text { Call } & \text { randomRects (); } & \text { randomRects(); } \\\hline \text { Output } & \text { w: 5, h: 6, area: } 30 & \text { w: 5, h: 2, area: } 10 \\& \text { w: 10, h: 5, area: 50 } & \text { w: 6, h: 5, area: } 30 \\& \text { w: 2, h: 8, area: 16 } & \text { w: 7, h: 6, area: 42 } \\& \text { w: 4, h: 4, area: 16 } & \text { w: 8, h: 10, area: } 80 \\& \text { w: 2, h: 9, area: 18 } & \text { Four rectangles of increasing area. } \\& \text { w: 8, h: 3, area: } 24 & \\& \text { w: 7, h: 2, area: } 14 & \\& \text { w: 3, h: 10, area: } 30 & \\& \text { w: 7, h: 9, area: } 63 & \\& \text { w: 9, h: 8, area: } 72 &\\& \text { Four rectangles of increasing area. }& \end{array}$

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Definitions:

Logical Reasoning

The process of using a rational, systematic series of steps based on sound mathematical procedures and given statements to arrive at a conclusion.

Egocentrism

A developmental phase where an individual is unable to differentiate between their own perspective and that of others, commonly seen in early childhood.

Animism

The belief that natural objects and phenomena are alive, moving around, with sensations and abilities that are humanlike.

Operational Thinking

A cognitive stage in which individuals can perform operations and manipulate symbols internally in a logical fashion.