Question

NO PSEUDOCODE IS NEEDED FOR THIS ASSIGNMENT. QUESTIONS LOOK FAMILIAR? OF COURSE! BUT DIFFERENT APPROACH! 1. Create a script that will take 4 vertices (total 8 numbers) then make decision whether those vertices form a square, a rectangular, a diamond (A.K.A Rhombus), a parallelogram, or just a quadrilateral. Also, the area of the shapes if the shape is a square or rectangular. [CREATE AN ARRAY FOR 4 VERTICES (TOTAL 8 NUMBERS, THEN REPEAT THE SAME PROCEDURE. The WHOLE COMPUTATION NEEDS TO BE DONE BY ACCESSING ELEMENTS IN THE ARRAY .) Taking values for the ARRAY has to be done within main(). But computation and displaying the result should be done with the USER DEFINED FUNCTION!)

Answer 1

A script to classify a given set of four vertices as a particular quadrilateral and calculate the area for squares and rectangles would work by storing vertices in an array, using distance calculations for shape classification, and applying dimensionally consistent formulas for area calculation.

Step-by-step explanation:

To create a script that determines whether four given vertices form a square, rectangle, rhombus, parallelogram, or a general quadrilateral, and to compute the area if the shape is a square or rectangle, one should follow a strategic approach. This involves storing the vertices in an array, and accessing elements within that array for computations within a user-defined function as per the requirement.

The algorithm should start with taking eight values within the main function and storing them in an array, representing four vertices of a suspected quadrilateral in a two-dimensional plane (x1, y1), (x2, y2), (x3, y3), and (x4, y4). To classify the quadrilateral, the script should check for equal lengths of opposite sides (for a parallelogram), equal lengths of all sides (for a rhombus or square), and right angles (90 degrees) between adjacent sides (for a rectangle or square).

To determine the shape, distances between corresponding vertices can be calculated by using the distance formula. After classification, if the shape is identified as a square or rectangle, the area can be calculated by multiplying the lengths of its sides or by squaring the side length in the case of a square. Dimensional Analysis can be helpful, as the area (A) should follow the dimensionally consistent formula A = side length · side length, indicated by A = a². Similarly, formulas that involve volume (V) or geometry constants such as π must align with the respective shape's dimensional properties.