To find: all integral possibilities for the lengths of the sides in centimeters.
Answer to Problem 5P
(4,7) , (5 , 4) and (6 ,1) are the solutions of the question.
Explanation of Solution
Given information: A certain quadrilateral has three sides of equal length and its.
perimeter is 19 cm.
Calculation:
Let the equal length sides bexcentimeters long the fourth side be ycentimeters long, then the equation of the perimeter of the quadrilateral becomes:
Solve for y.
Graph the equation and mark whole number combinations of x and y because this is the requirement stated in the question.
It can be seen that only ordered pairs (1, 16), (2, 13), (3, 10) ,(4, 7) , (5, 4)and (6, 1) are combination of ( x,y ) where both are whole numbers: but according to the question
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Algebra and Trigonometry: Structure and Method, Book 2
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