The perimeter of a quadrilateral (four-sided polygon) is 41 inches. The longest side is twice as long as the shortest side. The other two sides are equally long and are 3 inches longer than the shortest side. Find the length of all four sides.
Accepted Solution
A:
Answer:The length of all four sides of a quadrilateral are 7 inches, 14 inches, 10 inches, 10 inchesStep-by-step explanation:Let the shortest side be [tex]x[/tex]As per given information longest side = [tex]2x[/tex]and other 2 sides are equal in length but 3 more times that shortest side = [tex]3+x[/tex]Perimeter of Quadrilateral = 41 inches givenBut perimeter of quadrilateral = sum of all sides[tex]x+2x+x+3+x+3=41\\5x+6 =41\\5x= 41-6\\5x=35\\x = \frac{35}{5}=7[/tex]Shortest side = [tex]7\ in[/tex]Longest side = [tex]2x= 2\times 7= 14 \ in[/tex]Other 2 sides = [tex]3+x=3+7 = 10 \ in[/tex]